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Finding the Third Proportional to 451,537.88 and 619,180.88

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Solution

The third proportional to 451,537.88 and 619,180.88 is: 849,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,537.88 : 619,180.88 = 619,180.88 : x
  2. Step 2: Convert to fraction form
    451,537.88/619,180.88 = 619,180.88/x
  3. Step 3: Cross multiply
    451,537.88x = 619,180.88 × 619,180.88
  4. Step 4: Simplify right side
    451,537.88x = 383,384,955,965.77
  5. Step 5: Solve for x
    x = 383,384,955,965.77/451,537.88
  6. Step 6: Final answer
    x = 849,064.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.