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Finding the Third Proportional to 226,240 and 487,448

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Solution

The third proportional to 226,240 and 487,448 is: 1,050,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,240 : 487,448 = 487,448 : x
  2. Step 2: Convert to fraction form
    226,240/487,448 = 487,448/x
  3. Step 3: Cross multiply
    226,240x = 487,448 × 487,448
  4. Step 4: Simplify right side
    226,240x = 237,605,552,704
  5. Step 5: Solve for x
    x = 237,605,552,704/226,240
  6. Step 6: Final answer
    x = 1,050,236.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.