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Finding the Third Proportional to 437,887.63 and 659,963.50

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Solution

The third proportional to 437,887.63 and 659,963.50 is: 994,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,887.63 : 659,963.50 = 659,963.50 : x
  2. Step 2: Convert to fraction form
    437,887.63/659,963.50 = 659,963.50/x
  3. Step 3: Cross multiply
    437,887.63x = 659,963.50 × 659,963.50
  4. Step 4: Simplify right side
    437,887.63x = 435,551,821,332.25
  5. Step 5: Solve for x
    x = 435,551,821,332.25/437,887.63
  6. Step 6: Final answer
    x = 994,665.75

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