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Finding the Third Proportional to 234,257 and 498,525

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Solution

The third proportional to 234,257 and 498,525 is: 1,060,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,257 : 498,525 = 498,525 : x
  2. Step 2: Convert to fraction form
    234,257/498,525 = 498,525/x
  3. Step 3: Cross multiply
    234,257x = 498,525 × 498,525
  4. Step 4: Simplify right side
    234,257x = 248,527,175,625
  5. Step 5: Solve for x
    x = 248,527,175,625/234,257
  6. Step 6: Final answer
    x = 1,060,916.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.