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Finding the Third Proportional to 224,760.50 and 478,127

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Solution

The third proportional to 224,760.50 and 478,127 is: 1,017,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,760.50 : 478,127 = 478,127 : x
  2. Step 2: Convert to fraction form
    224,760.50/478,127 = 478,127/x
  3. Step 3: Cross multiply
    224,760.50x = 478,127 × 478,127
  4. Step 4: Simplify right side
    224,760.50x = 228,605,428,129
  5. Step 5: Solve for x
    x = 228,605,428,129/224,760.50
  6. Step 6: Final answer
    x = 1,017,106.78

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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.