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Finding the Third Proportional to 429,243.75 and 932,298

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Solution

The third proportional to 429,243.75 and 932,298 is: 2,024,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,243.75 : 932,298 = 932,298 : x
  2. Step 2: Convert to fraction form
    429,243.75/932,298 = 932,298/x
  3. Step 3: Cross multiply
    429,243.75x = 932,298 × 932,298
  4. Step 4: Simplify right side
    429,243.75x = 869,179,560,804
  5. Step 5: Solve for x
    x = 869,179,560,804/429,243.75
  6. Step 6: Final answer
    x = 2,024,909.07

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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.