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Finding the Third Proportional to 226,928 and 482,560

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Solution

The third proportional to 226,928 and 482,560 is: 1,026,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,928 : 482,560 = 482,560 : x
  2. Step 2: Convert to fraction form
    226,928/482,560 = 482,560/x
  3. Step 3: Cross multiply
    226,928x = 482,560 × 482,560
  4. Step 4: Simplify right side
    226,928x = 232,864,153,600
  5. Step 5: Solve for x
    x = 232,864,153,600/226,928
  6. Step 6: Final answer
    x = 1,026,158.75

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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.