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Finding the Third Proportional to 234,132 and 512,862

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Solution

The third proportional to 234,132 and 512,862 is: 1,123,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,132 : 512,862 = 512,862 : x
  2. Step 2: Convert to fraction form
    234,132/512,862 = 512,862/x
  3. Step 3: Cross multiply
    234,132x = 512,862 × 512,862
  4. Step 4: Simplify right side
    234,132x = 263,027,431,044
  5. Step 5: Solve for x
    x = 263,027,431,044/234,132
  6. Step 6: Final answer
    x = 1,123,415.13

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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.