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Finding the Third Proportional to 437,698.69 and 656,548.03

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Solution

The third proportional to 437,698.69 and 656,548.03 is: 984,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,698.69 : 656,548.03 = 656,548.03 : x
  2. Step 2: Convert to fraction form
    437,698.69/656,548.03 = 656,548.03/x
  3. Step 3: Cross multiply
    437,698.69x = 656,548.03 × 656,548.03
  4. Step 4: Simplify right side
    437,698.69x = 431,055,317,338.25
  5. Step 5: Solve for x
    x = 431,055,317,338.25/437,698.69
  6. Step 6: Final answer
    x = 984,822.05

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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.