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Finding the Third Proportional to 224,765.51 and 481,515.89

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Solution

The third proportional to 224,765.51 and 481,515.89 is: 1,031,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,765.51 : 481,515.89 = 481,515.89 : x
  2. Step 2: Convert to fraction form
    224,765.51/481,515.89 = 481,515.89/x
  3. Step 3: Cross multiply
    224,765.51x = 481,515.89 × 481,515.89
  4. Step 4: Simplify right side
    224,765.51x = 231,857,552,924.39
  5. Step 5: Solve for x
    x = 231,857,552,924.39/224,765.51
  6. Step 6: Final answer
    x = 1,031,553.08

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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.