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Finding the Third Proportional to 224,758.97 and 478,123.59

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Solution

The third proportional to 224,758.97 and 478,123.59 is: 1,017,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,758.97 : 478,123.59 = 478,123.59 : x
  2. Step 2: Convert to fraction form
    224,758.97/478,123.59 = 478,123.59/x
  3. Step 3: Cross multiply
    224,758.97x = 478,123.59 × 478,123.59
  4. Step 4: Simplify right side
    224,758.97x = 228,602,170,900.42
  5. Step 5: Solve for x
    x = 228,602,170,900.42/224,758.97
  6. Step 6: Final answer
    x = 1,017,099.22

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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.