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Finding the Third Proportional to 234,745 and 498,578

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Solution

The third proportional to 234,745 and 498,578 is: 1,058,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,745 : 498,578 = 498,578 : x
  2. Step 2: Convert to fraction form
    234,745/498,578 = 498,578/x
  3. Step 3: Cross multiply
    234,745x = 498,578 × 498,578
  4. Step 4: Simplify right side
    234,745x = 248,580,022,084
  5. Step 5: Solve for x
    x = 248,580,022,084/234,745
  6. Step 6: Final answer
    x = 1,058,936.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.