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Finding the Third Proportional to 359,858 and 769,542

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Solution

The third proportional to 359,858 and 769,542 is: 1,645,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,858 : 769,542 = 769,542 : x
  2. Step 2: Convert to fraction form
    359,858/769,542 = 769,542/x
  3. Step 3: Cross multiply
    359,858x = 769,542 × 769,542
  4. Step 4: Simplify right side
    359,858x = 592,194,889,764
  5. Step 5: Solve for x
    x = 592,194,889,764/359,858
  6. Step 6: Final answer
    x = 1,645,634.92

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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.