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Finding the Third Proportional to 336,624 and 730,471

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Solution

The third proportional to 336,624 and 730,471 is: 1,585,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,624 : 730,471 = 730,471 : x
  2. Step 2: Convert to fraction form
    336,624/730,471 = 730,471/x
  3. Step 3: Cross multiply
    336,624x = 730,471 × 730,471
  4. Step 4: Simplify right side
    336,624x = 533,587,881,841
  5. Step 5: Solve for x
    x = 533,587,881,841/336,624
  6. Step 6: Final answer
    x = 1,585,115.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.