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Finding the Third Proportional to 437,887.50 and 659,963.25

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Solution

The third proportional to 437,887.50 and 659,963.25 is: 994,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,887.50 : 659,963.25 = 659,963.25 : x
  2. Step 2: Convert to fraction form
    437,887.50/659,963.25 = 659,963.25/x
  3. Step 3: Cross multiply
    437,887.50x = 659,963.25 × 659,963.25
  4. Step 4: Simplify right side
    437,887.50x = 435,551,491,350.56
  5. Step 5: Solve for x
    x = 435,551,491,350.56/437,887.50
  6. Step 6: Final answer
    x = 994,665.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.