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Finding the Third Proportional to 234,549 and 512,115.75

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Solution

The third proportional to 234,549 and 512,115.75 is: 1,118,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,549 : 512,115.75 = 512,115.75 : x
  2. Step 2: Convert to fraction form
    234,549/512,115.75 = 512,115.75/x
  3. Step 3: Cross multiply
    234,549x = 512,115.75 × 512,115.75
  4. Step 4: Simplify right side
    234,549x = 262,262,541,398.06
  5. Step 5: Solve for x
    x = 262,262,541,398.06/234,549
  6. Step 6: Final answer
    x = 1,118,156.72

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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.