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Finding the Third Proportional to 649,552.50 and 935,651.25

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Solution

The third proportional to 649,552.50 and 935,651.25 is: 1,347,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,552.50 : 935,651.25 = 935,651.25 : x
  2. Step 2: Convert to fraction form
    649,552.50/935,651.25 = 935,651.25/x
  3. Step 3: Cross multiply
    649,552.50x = 935,651.25 × 935,651.25
  4. Step 4: Simplify right side
    649,552.50x = 875,443,261,626.56
  5. Step 5: Solve for x
    x = 875,443,261,626.56/649,552.50
  6. Step 6: Final answer
    x = 1,347,763.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.