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Finding the Third Proportional to 224,760.75 and 478,128

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Solution

The third proportional to 224,760.75 and 478,128 is: 1,017,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,760.75 : 478,128 = 478,128 : x
  2. Step 2: Convert to fraction form
    224,760.75/478,128 = 478,128/x
  3. Step 3: Cross multiply
    224,760.75x = 478,128 × 478,128
  4. Step 4: Simplify right side
    224,760.75x = 228,606,384,384
  5. Step 5: Solve for x
    x = 228,606,384,384/224,760.75
  6. Step 6: Final answer
    x = 1,017,109.90

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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.