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Finding the Third Proportional to 235,254.38 and 514,734.75

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Solution

The third proportional to 235,254.38 and 514,734.75 is: 1,126,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,254.38 : 514,734.75 = 514,734.75 : x
  2. Step 2: Convert to fraction form
    235,254.38/514,734.75 = 514,734.75/x
  3. Step 3: Cross multiply
    235,254.38x = 514,734.75 × 514,734.75
  4. Step 4: Simplify right side
    235,254.38x = 264,951,862,857.56
  5. Step 5: Solve for x
    x = 264,951,862,857.56/235,254.38
  6. Step 6: Final answer
    x = 1,126,235.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.