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Finding the Third Proportional to 363,624 and 777,792

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Solution

The third proportional to 363,624 and 777,792 is: 1,663,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,624 : 777,792 = 777,792 : x
  2. Step 2: Convert to fraction form
    363,624/777,792 = 777,792/x
  3. Step 3: Cross multiply
    363,624x = 777,792 × 777,792
  4. Step 4: Simplify right side
    363,624x = 604,960,395,264
  5. Step 5: Solve for x
    x = 604,960,395,264/363,624
  6. Step 6: Final answer
    x = 1,663,697.65

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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.