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Finding the Third Proportional to 267,783 and 414,897

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Solution

The third proportional to 267,783 and 414,897 is: 642,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,783 : 414,897 = 414,897 : x
  2. Step 2: Convert to fraction form
    267,783/414,897 = 414,897/x
  3. Step 3: Cross multiply
    267,783x = 414,897 × 414,897
  4. Step 4: Simplify right side
    267,783x = 172,139,520,609
  5. Step 5: Solve for x
    x = 172,139,520,609/267,783
  6. Step 6: Final answer
    x = 642,832.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.