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Finding the Third Proportional to 257,924.25 and 566,902.13

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Solution

The third proportional to 257,924.25 and 566,902.13 is: 1,246,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,924.25 : 566,902.13 = 566,902.13 : x
  2. Step 2: Convert to fraction form
    257,924.25/566,902.13 = 566,902.13/x
  3. Step 3: Cross multiply
    257,924.25x = 566,902.13 × 566,902.13
  4. Step 4: Simplify right side
    257,924.25x = 321,378,019,329.52
  5. Step 5: Solve for x
    x = 321,378,019,329.52/257,924.25
  6. Step 6: Final answer
    x = 1,246,017.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.