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Finding the Third Proportional to 392,269.50 and 844,357.50

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Solution

The third proportional to 392,269.50 and 844,357.50 is: 1,817,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,269.50 : 844,357.50 = 844,357.50 : x
  2. Step 2: Convert to fraction form
    392,269.50/844,357.50 = 844,357.50/x
  3. Step 3: Cross multiply
    392,269.50x = 844,357.50 × 844,357.50
  4. Step 4: Simplify right side
    392,269.50x = 712,939,587,806.25
  5. Step 5: Solve for x
    x = 712,939,587,806.25/392,269.50
  6. Step 6: Final answer
    x = 1,817,473.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.