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Finding the Third Proportional to 336,408.19 and 738,211.22

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Solution

The third proportional to 336,408.19 and 738,211.22 is: 1,619,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,408.19 : 738,211.22 = 738,211.22 : x
  2. Step 2: Convert to fraction form
    336,408.19/738,211.22 = 738,211.22/x
  3. Step 3: Cross multiply
    336,408.19x = 738,211.22 × 738,211.22
  4. Step 4: Simplify right side
    336,408.19x = 544,955,803,488.36
  5. Step 5: Solve for x
    x = 544,955,803,488.36/336,408.19
  6. Step 6: Final answer
    x = 1,619,924.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.