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Finding the Third Proportional to 359,862.75 and 769,540.50

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Solution

The third proportional to 359,862.75 and 769,540.50 is: 1,645,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,862.75 : 769,540.50 = 769,540.50 : x
  2. Step 2: Convert to fraction form
    359,862.75/769,540.50 = 769,540.50/x
  3. Step 3: Cross multiply
    359,862.75x = 769,540.50 × 769,540.50
  4. Step 4: Simplify right side
    359,862.75x = 592,192,581,140.25
  5. Step 5: Solve for x
    x = 592,192,581,140.25/359,862.75
  6. Step 6: Final answer
    x = 1,645,606.78

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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.