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Finding the Third Proportional to 224,830.41 and 481,711.78

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Solution

The third proportional to 224,830.41 and 481,711.78 is: 1,032,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,830.41 : 481,711.78 = 481,711.78 : x
  2. Step 2: Convert to fraction form
    224,830.41/481,711.78 = 481,711.78/x
  3. Step 3: Cross multiply
    224,830.41x = 481,711.78 × 481,711.78
  4. Step 4: Simplify right side
    224,830.41x = 232,046,240,195.05
  5. Step 5: Solve for x
    x = 232,046,240,195.05/224,830.41
  6. Step 6: Final answer
    x = 1,032,094.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.