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Finding the Third Proportional to 437,887.59 and 659,963.44

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Solution

The third proportional to 437,887.59 and 659,963.44 is: 994,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,887.59 : 659,963.44 = 659,963.44 : x
  2. Step 2: Convert to fraction form
    437,887.59/659,963.44 = 659,963.44/x
  3. Step 3: Cross multiply
    437,887.59x = 659,963.44 × 659,963.44
  4. Step 4: Simplify right side
    437,887.59x = 435,551,738,836.82
  5. Step 5: Solve for x
    x = 435,551,738,836.82/437,887.59
  6. Step 6: Final answer
    x = 994,665.63

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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.