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Finding the Third Proportional to 441,247.50 and 660,089.25

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Solution

The third proportional to 441,247.50 and 660,089.25 is: 987,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,247.50 : 660,089.25 = 660,089.25 : x
  2. Step 2: Convert to fraction form
    441,247.50/660,089.25 = 660,089.25/x
  3. Step 3: Cross multiply
    441,247.50x = 660,089.25 × 660,089.25
  4. Step 4: Simplify right side
    441,247.50x = 435,717,817,965.56
  5. Step 5: Solve for x
    x = 435,717,817,965.56/441,247.50
  6. Step 6: Final answer
    x = 987,468.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.