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Finding the Third Proportional to 267,594 and 413,151

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Solution

The third proportional to 267,594 and 413,151 is: 637,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,594 : 413,151 = 413,151 : x
  2. Step 2: Convert to fraction form
    267,594/413,151 = 413,151/x
  3. Step 3: Cross multiply
    267,594x = 413,151 × 413,151
  4. Step 4: Simplify right side
    267,594x = 170,693,748,801
  5. Step 5: Solve for x
    x = 170,693,748,801/267,594
  6. Step 6: Final answer
    x = 637,883.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.