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Finding the Third Proportional to 226,428 and 479,829

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Solution

The third proportional to 226,428 and 479,829 is: 1,016,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,428 : 479,829 = 479,829 : x
  2. Step 2: Convert to fraction form
    226,428/479,829 = 479,829/x
  3. Step 3: Cross multiply
    226,428x = 479,829 × 479,829
  4. Step 4: Simplify right side
    226,428x = 230,235,869,241
  5. Step 5: Solve for x
    x = 230,235,869,241/226,428
  6. Step 6: Final answer
    x = 1,016,817.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.