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Finding the Third Proportional to 429,241.50 and 932,287.50

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Solution

The third proportional to 429,241.50 and 932,287.50 is: 2,024,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,241.50 : 932,287.50 = 932,287.50 : x
  2. Step 2: Convert to fraction form
    429,241.50/932,287.50 = 932,287.50/x
  3. Step 3: Cross multiply
    429,241.50x = 932,287.50 × 932,287.50
  4. Step 4: Simplify right side
    429,241.50x = 869,159,982,656.25
  5. Step 5: Solve for x
    x = 869,159,982,656.25/429,241.50
  6. Step 6: Final answer
    x = 2,024,874.07

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