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Finding the Third Proportional to 226,930 and 482,564

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Solution

The third proportional to 226,930 and 482,564 is: 1,026,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,930 : 482,564 = 482,564 : x
  2. Step 2: Convert to fraction form
    226,930/482,564 = 482,564/x
  3. Step 3: Cross multiply
    226,930x = 482,564 × 482,564
  4. Step 4: Simplify right side
    226,930x = 232,868,014,096
  5. Step 5: Solve for x
    x = 232,868,014,096/226,930
  6. Step 6: Final answer
    x = 1,026,166.72

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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.