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Finding the Third Proportional to 359,861 and 769,549

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Solution

The third proportional to 359,861 and 769,549 is: 1,645,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,861 : 769,549 = 769,549 : x
  2. Step 2: Convert to fraction form
    359,861/769,549 = 769,549/x
  3. Step 3: Cross multiply
    359,861x = 769,549 × 769,549
  4. Step 4: Simplify right side
    359,861x = 592,205,663,401
  5. Step 5: Solve for x
    x = 592,205,663,401/359,861
  6. Step 6: Final answer
    x = 1,645,651.14

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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.