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Finding the Third Proportional to 358,748 and 754,676

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Solution

The third proportional to 358,748 and 754,676 is: 1,587,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,748 : 754,676 = 754,676 : x
  2. Step 2: Convert to fraction form
    358,748/754,676 = 754,676/x
  3. Step 3: Cross multiply
    358,748x = 754,676 × 754,676
  4. Step 4: Simplify right side
    358,748x = 569,535,864,976
  5. Step 5: Solve for x
    x = 569,535,864,976/358,748
  6. Step 6: Final answer
    x = 1,587,565.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.