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Finding the Third Proportional to 267,050 and 415,893

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Solution

The third proportional to 267,050 and 415,893 is: 647,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,050 : 415,893 = 415,893 : x
  2. Step 2: Convert to fraction form
    267,050/415,893 = 415,893/x
  3. Step 3: Cross multiply
    267,050x = 415,893 × 415,893
  4. Step 4: Simplify right side
    267,050x = 172,966,987,449
  5. Step 5: Solve for x
    x = 172,966,987,449/267,050
  6. Step 6: Final answer
    x = 647,695.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.