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Finding the Third Proportional to 437,712.75 and 656,570.25

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Solution

The third proportional to 437,712.75 and 656,570.25 is: 984,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,712.75 : 656,570.25 = 656,570.25 : x
  2. Step 2: Convert to fraction form
    437,712.75/656,570.25 = 656,570.25/x
  3. Step 3: Cross multiply
    437,712.75x = 656,570.25 × 656,570.25
  4. Step 4: Simplify right side
    437,712.75x = 431,084,493,185.06
  5. Step 5: Solve for x
    x = 431,084,493,185.06/437,712.75
  6. Step 6: Final answer
    x = 984,857.06

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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.