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Finding the Third Proportional to 274,597 and 410,900

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Solution

The third proportional to 274,597 and 410,900 is: 614,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,597 : 410,900 = 410,900 : x
  2. Step 2: Convert to fraction form
    274,597/410,900 = 410,900/x
  3. Step 3: Cross multiply
    274,597x = 410,900 × 410,900
  4. Step 4: Simplify right side
    274,597x = 168,838,810,000
  5. Step 5: Solve for x
    x = 168,838,810,000/274,597
  6. Step 6: Final answer
    x = 614,860.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.