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Finding the Third Proportional to 359,857 and 769,541

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Solution

The third proportional to 359,857 and 769,541 is: 1,645,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,857 : 769,541 = 769,541 : x
  2. Step 2: Convert to fraction form
    359,857/769,541 = 769,541/x
  3. Step 3: Cross multiply
    359,857x = 769,541 × 769,541
  4. Step 4: Simplify right side
    359,857x = 592,193,350,681
  5. Step 5: Solve for x
    x = 592,193,350,681/359,857
  6. Step 6: Final answer
    x = 1,645,635.21

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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.