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Finding the Third Proportional to 437,887.13 and 659,962.69

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Solution

The third proportional to 437,887.13 and 659,962.69 is: 994,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,887.13 : 659,962.69 = 659,962.69 : x
  2. Step 2: Convert to fraction form
    437,887.13/659,962.69 = 659,962.69/x
  3. Step 3: Cross multiply
    437,887.13x = 659,962.69 × 659,962.69
  4. Step 4: Simplify right side
    437,887.13x = 435,550,748,892.22
  5. Step 5: Solve for x
    x = 435,550,748,892.22/437,887.13
  6. Step 6: Final answer
    x = 994,664.43

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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.