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Finding the Third Proportional to 360,712 and 775,691

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Solution

The third proportional to 360,712 and 775,691 is: 1,668,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,712 : 775,691 = 775,691 : x
  2. Step 2: Convert to fraction form
    360,712/775,691 = 775,691/x
  3. Step 3: Cross multiply
    360,712x = 775,691 × 775,691
  4. Step 4: Simplify right side
    360,712x = 601,696,527,481
  5. Step 5: Solve for x
    x = 601,696,527,481/360,712
  6. Step 6: Final answer
    x = 1,668,080.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.