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Finding the Third Proportional to 224,765.63 and 481,516.13

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Solution

The third proportional to 224,765.63 and 481,516.13 is: 1,031,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,765.63 : 481,516.13 = 481,516.13 : x
  2. Step 2: Convert to fraction form
    224,765.63/481,516.13 = 481,516.13/x
  3. Step 3: Cross multiply
    224,765.63x = 481,516.13 × 481,516.13
  4. Step 4: Simplify right side
    224,765.63x = 231,857,778,635.02
  5. Step 5: Solve for x
    x = 231,857,778,635.02/224,765.63
  6. Step 6: Final answer
    x = 1,031,553.55

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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.