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Finding the Third Proportional to 500,286.50 and 749,062.50

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Solution

The third proportional to 500,286.50 and 749,062.50 is: 1,121,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,286.50 : 749,062.50 = 749,062.50 : x
  2. Step 2: Convert to fraction form
    500,286.50/749,062.50 = 749,062.50/x
  3. Step 3: Cross multiply
    500,286.50x = 749,062.50 × 749,062.50
  4. Step 4: Simplify right side
    500,286.50x = 561,094,628,906.25
  5. Step 5: Solve for x
    x = 561,094,628,906.25/500,286.50
  6. Step 6: Final answer
    x = 1,121,546.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.