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Finding the Third Proportional to 429,325 and 932,396

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Solution

The third proportional to 429,325 and 932,396 is: 2,024,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,325 : 932,396 = 932,396 : x
  2. Step 2: Convert to fraction form
    429,325/932,396 = 932,396/x
  3. Step 3: Cross multiply
    429,325x = 932,396 × 932,396
  4. Step 4: Simplify right side
    429,325x = 869,362,300,816
  5. Step 5: Solve for x
    x = 869,362,300,816/429,325
  6. Step 6: Final answer
    x = 2,024,951.50

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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.