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Finding the Third Proportional to 238,642.50 and 514,629

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Solution

The third proportional to 238,642.50 and 514,629 is: 1,109,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,642.50 : 514,629 = 514,629 : x
  2. Step 2: Convert to fraction form
    238,642.50/514,629 = 514,629/x
  3. Step 3: Cross multiply
    238,642.50x = 514,629 × 514,629
  4. Step 4: Simplify right side
    238,642.50x = 264,843,007,641
  5. Step 5: Solve for x
    x = 264,843,007,641/238,642.50
  6. Step 6: Final answer
    x = 1,109,789.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.