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Finding the Third Proportional to 462,550.50 and 660,610.69

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Solution

The third proportional to 462,550.50 and 660,610.69 is: 943,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,550.50 : 660,610.69 = 660,610.69 : x
  2. Step 2: Convert to fraction form
    462,550.50/660,610.69 = 660,610.69/x
  3. Step 3: Cross multiply
    462,550.50x = 660,610.69 × 660,610.69
  4. Step 4: Simplify right side
    462,550.50x = 436,406,480,439.22
  5. Step 5: Solve for x
    x = 436,406,480,439.22/462,550.50
  6. Step 6: Final answer
    x = 943,478.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.