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Finding the Third Proportional to 429,314 and 932,374

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Solution

The third proportional to 429,314 and 932,374 is: 2,024,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,314 : 932,374 = 932,374 : x
  2. Step 2: Convert to fraction form
    429,314/932,374 = 932,374/x
  3. Step 3: Cross multiply
    429,314x = 932,374 × 932,374
  4. Step 4: Simplify right side
    429,314x = 869,321,275,876
  5. Step 5: Solve for x
    x = 869,321,275,876/429,314
  6. Step 6: Final answer
    x = 2,024,907.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.