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Finding the Third Proportional to 297,565.88 and 661,349.25

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Solution

The third proportional to 297,565.88 and 661,349.25 is: 1,469,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,565.88 : 661,349.25 = 661,349.25 : x
  2. Step 2: Convert to fraction form
    297,565.88/661,349.25 = 661,349.25/x
  3. Step 3: Cross multiply
    297,565.88x = 661,349.25 × 661,349.25
  4. Step 4: Simplify right side
    297,565.88x = 437,382,830,475.56
  5. Step 5: Solve for x
    x = 437,382,830,475.56/297,565.88
  6. Step 6: Final answer
    x = 1,469,868.92

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.