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Finding the Third Proportional to 238,587.75 and 511,329.09

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Solution

The third proportional to 238,587.75 and 511,329.09 is: 1,095,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,587.75 : 511,329.09 = 511,329.09 : x
  2. Step 2: Convert to fraction form
    238,587.75/511,329.09 = 511,329.09/x
  3. Step 3: Cross multiply
    238,587.75x = 511,329.09 × 511,329.09
  4. Step 4: Simplify right side
    238,587.75x = 261,457,442,115.20
  5. Step 5: Solve for x
    x = 261,457,442,115.20/238,587.75
  6. Step 6: Final answer
    x = 1,095,854.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.