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Finding the Third Proportional to 429,252 and 932,375

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Solution

The third proportional to 429,252 and 932,375 is: 2,025,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,252 : 932,375 = 932,375 : x
  2. Step 2: Convert to fraction form
    429,252/932,375 = 932,375/x
  3. Step 3: Cross multiply
    429,252x = 932,375 × 932,375
  4. Step 4: Simplify right side
    429,252x = 869,323,140,625
  5. Step 5: Solve for x
    x = 869,323,140,625/429,252
  6. Step 6: Final answer
    x = 2,025,204.64

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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.