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Finding the Third Proportional to 267,780 and 391,407

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Solution

The third proportional to 267,780 and 391,407 is: 572,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,780 : 391,407 = 391,407 : x
  2. Step 2: Convert to fraction form
    267,780/391,407 = 391,407/x
  3. Step 3: Cross multiply
    267,780x = 391,407 × 391,407
  4. Step 4: Simplify right side
    267,780x = 153,199,439,649
  5. Step 5: Solve for x
    x = 153,199,439,649/267,780
  6. Step 6: Final answer
    x = 572,109.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.