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Finding the Third Proportional to 609,565.50 and 949,249.13

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Solution

The third proportional to 609,565.50 and 949,249.13 is: 1,478,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,565.50 : 949,249.13 = 949,249.13 : x
  2. Step 2: Convert to fraction form
    609,565.50/949,249.13 = 949,249.13/x
  3. Step 3: Cross multiply
    609,565.50x = 949,249.13 × 949,249.13
  4. Step 4: Simplify right side
    609,565.50x = 901,073,901,313.27
  5. Step 5: Solve for x
    x = 901,073,901,313.27/609,565.50
  6. Step 6: Final answer
    x = 1,478,223.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.