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Finding the Third Proportional to 236,641.50 and 516,648.38

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Solution

The third proportional to 236,641.50 and 516,648.38 is: 1,127,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,641.50 : 516,648.38 = 516,648.38 : x
  2. Step 2: Convert to fraction form
    236,641.50/516,648.38 = 516,648.38/x
  3. Step 3: Cross multiply
    236,641.50x = 516,648.38 × 516,648.38
  4. Step 4: Simplify right side
    236,641.50x = 266,925,543,390.14
  5. Step 5: Solve for x
    x = 266,925,543,390.14/236,641.50
  6. Step 6: Final answer
    x = 1,127,974.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.