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Finding the Third Proportional to 234,616.50 and 512,254.13

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Solution

The third proportional to 234,616.50 and 512,254.13 is: 1,118,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,616.50 : 512,254.13 = 512,254.13 : x
  2. Step 2: Convert to fraction form
    234,616.50/512,254.13 = 512,254.13/x
  3. Step 3: Cross multiply
    234,616.50x = 512,254.13 × 512,254.13
  4. Step 4: Simplify right side
    234,616.50x = 262,404,288,579.52
  5. Step 5: Solve for x
    x = 262,404,288,579.52/234,616.50
  6. Step 6: Final answer
    x = 1,118,439.19

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Why These Related Problems?

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