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Finding the Third Proportional to 391,677 and 528,468

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Solution

The third proportional to 391,677 and 528,468 is: 713,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,677 : 528,468 = 528,468 : x
  2. Step 2: Convert to fraction form
    391,677/528,468 = 528,468/x
  3. Step 3: Cross multiply
    391,677x = 528,468 × 528,468
  4. Step 4: Simplify right side
    391,677x = 279,278,427,024
  5. Step 5: Solve for x
    x = 279,278,427,024/391,677
  6. Step 6: Final answer
    x = 713,032.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.