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Finding the Third Proportional to 440,772.75 and 654,679.13

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Solution

The third proportional to 440,772.75 and 654,679.13 is: 972,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,772.75 : 654,679.13 = 654,679.13 : x
  2. Step 2: Convert to fraction form
    440,772.75/654,679.13 = 654,679.13/x
  3. Step 3: Cross multiply
    440,772.75x = 654,679.13 × 654,679.13
  4. Step 4: Simplify right side
    440,772.75x = 428,604,756,710.77
  5. Step 5: Solve for x
    x = 428,604,756,710.77/440,772.75
  6. Step 6: Final answer
    x = 972,393.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.