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Finding the Third Proportional to 372,559.50 and 809,929.13

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Solution

The third proportional to 372,559.50 and 809,929.13 is: 1,760,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,559.50 : 809,929.13 = 809,929.13 : x
  2. Step 2: Convert to fraction form
    372,559.50/809,929.13 = 809,929.13/x
  3. Step 3: Cross multiply
    372,559.50x = 809,929.13 × 809,929.13
  4. Step 4: Simplify right side
    372,559.50x = 655,985,187,523.27
  5. Step 5: Solve for x
    x = 655,985,187,523.27/372,559.50
  6. Step 6: Final answer
    x = 1,760,752.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.