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Finding the Third Proportional to 291,408,706.50 and 594,523,288.50

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Solution

The third proportional to 291,408,706.50 and 594,523,288.50 is: 1,212,928,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,408,706.50 : 594,523,288.50 = 594,523,288.50 : x
  2. Step 2: Convert to fraction form
    291,408,706.50/594,523,288.50 = 594,523,288.50/x
  3. Step 3: Cross multiply
    291,408,706.50x = 594,523,288.50 × 594,523,288.50
  4. Step 4: Simplify right side
    291,408,706.50x = 353,457,940,568,854,208
  5. Step 5: Solve for x
    x = 353,457,940,568,854,208/291,408,706.50
  6. Step 6: Final answer
    x = 1,212,928,552.53

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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.