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Finding the Third Proportional to 257,644 and 408,857

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Solution

The third proportional to 257,644 and 408,857 is: 648,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,644 : 408,857 = 408,857 : x
  2. Step 2: Convert to fraction form
    257,644/408,857 = 408,857/x
  3. Step 3: Cross multiply
    257,644x = 408,857 × 408,857
  4. Step 4: Simplify right side
    257,644x = 167,164,046,449
  5. Step 5: Solve for x
    x = 167,164,046,449/257,644
  6. Step 6: Final answer
    x = 648,817.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.