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Finding the Third Proportional to 338,537 and 723,730

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Solution

The third proportional to 338,537 and 723,730 is: 1,547,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,537 : 723,730 = 723,730 : x
  2. Step 2: Convert to fraction form
    338,537/723,730 = 723,730/x
  3. Step 3: Cross multiply
    338,537x = 723,730 × 723,730
  4. Step 4: Simplify right side
    338,537x = 523,785,112,900
  5. Step 5: Solve for x
    x = 523,785,112,900/338,537
  6. Step 6: Final answer
    x = 1,547,201.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.