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Finding the Third Proportional to 649,488.54 and 935,557.59

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Solution

The third proportional to 649,488.54 and 935,557.59 is: 1,347,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,488.54 : 935,557.59 = 935,557.59 : x
  2. Step 2: Convert to fraction form
    649,488.54/935,557.59 = 935,557.59/x
  3. Step 3: Cross multiply
    649,488.54x = 935,557.59 × 935,557.59
  4. Step 4: Simplify right side
    649,488.54x = 875,268,011,223.29
  5. Step 5: Solve for x
    x = 875,268,011,223.29/649,488.54
  6. Step 6: Final answer
    x = 1,347,626.56

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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.