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Finding the Third Proportional to 234,631.13 and 512,295.75

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Solution

The third proportional to 234,631.13 and 512,295.75 is: 1,118,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,631.13 : 512,295.75 = 512,295.75 : x
  2. Step 2: Convert to fraction form
    234,631.13/512,295.75 = 512,295.75/x
  3. Step 3: Cross multiply
    234,631.13x = 512,295.75 × 512,295.75
  4. Step 4: Simplify right side
    234,631.13x = 262,446,935,468.06
  5. Step 5: Solve for x
    x = 262,446,935,468.06/234,631.13
  6. Step 6: Final answer
    x = 1,118,551.24

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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.