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Finding the Third Proportional to 274,595 and 410,897

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Solution

The third proportional to 274,595 and 410,897 is: 614,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,595 : 410,897 = 410,897 : x
  2. Step 2: Convert to fraction form
    274,595/410,897 = 410,897/x
  3. Step 3: Cross multiply
    274,595x = 410,897 × 410,897
  4. Step 4: Simplify right side
    274,595x = 168,836,344,609
  5. Step 5: Solve for x
    x = 168,836,344,609/274,595
  6. Step 6: Final answer
    x = 614,855.86

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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.