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Finding the Third Proportional to 226,438 and 484,587

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Solution

The third proportional to 226,438 and 484,587 is: 1,037,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,438 : 484,587 = 484,587 : x
  2. Step 2: Convert to fraction form
    226,438/484,587 = 484,587/x
  3. Step 3: Cross multiply
    226,438x = 484,587 × 484,587
  4. Step 4: Simplify right side
    226,438x = 234,824,560,569
  5. Step 5: Solve for x
    x = 234,824,560,569/226,438
  6. Step 6: Final answer
    x = 1,037,036.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.