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Finding the Third Proportional to 429,327 and 932,400

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Solution

The third proportional to 429,327 and 932,400 is: 2,024,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,327 : 932,400 = 932,400 : x
  2. Step 2: Convert to fraction form
    429,327/932,400 = 932,400/x
  3. Step 3: Cross multiply
    429,327x = 932,400 × 932,400
  4. Step 4: Simplify right side
    429,327x = 869,369,760,000
  5. Step 5: Solve for x
    x = 869,369,760,000/429,327
  6. Step 6: Final answer
    x = 2,024,959.44

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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.