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Finding the Third Proportional to 291,408,790.22 and 594,523,451.53

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Solution

The third proportional to 291,408,790.22 and 594,523,451.53 is: 1,212,928,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,408,790.22 : 594,523,451.53 = 594,523,451.53 : x
  2. Step 2: Convert to fraction form
    291,408,790.22/594,523,451.53 = 594,523,451.53/x
  3. Step 3: Cross multiply
    291,408,790.22x = 594,523,451.53 × 594,523,451.53
  4. Step 4: Simplify right side
    291,408,790.22x = 353,458,134,420,630,592
  5. Step 5: Solve for x
    x = 353,458,134,420,630,592/291,408,790.22
  6. Step 6: Final answer
    x = 1,212,928,869.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.