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Finding the Third Proportional to 359,727 and 775,551

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Solution

The third proportional to 359,727 and 775,551 is: 1,672,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,727 : 775,551 = 775,551 : x
  2. Step 2: Convert to fraction form
    359,727/775,551 = 775,551/x
  3. Step 3: Cross multiply
    359,727x = 775,551 × 775,551
  4. Step 4: Simplify right side
    359,727x = 601,479,353,601
  5. Step 5: Solve for x
    x = 601,479,353,601/359,727
  6. Step 6: Final answer
    x = 1,672,043.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.