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Finding the Third Proportional to 498,889.13 and 769,727.81

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Solution

The third proportional to 498,889.13 and 769,727.81 is: 1,187,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,889.13 : 769,727.81 = 769,727.81 : x
  2. Step 2: Convert to fraction form
    498,889.13/769,727.81 = 769,727.81/x
  3. Step 3: Cross multiply
    498,889.13x = 769,727.81 × 769,727.81
  4. Step 4: Simplify right side
    498,889.13x = 592,480,905,336.04
  5. Step 5: Solve for x
    x = 592,480,905,336.04/498,889.13
  6. Step 6: Final answer
    x = 1,187,600.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.