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Finding the Third Proportional to 465,474 and 711,748

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Solution

The third proportional to 465,474 and 711,748 is: 1,088,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,474 : 711,748 = 711,748 : x
  2. Step 2: Convert to fraction form
    465,474/711,748 = 711,748/x
  3. Step 3: Cross multiply
    465,474x = 711,748 × 711,748
  4. Step 4: Simplify right side
    465,474x = 506,585,215,504
  5. Step 5: Solve for x
    x = 506,585,215,504/465,474
  6. Step 6: Final answer
    x = 1,088,321.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.