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Finding the Third Proportional to 475,807.50 and 694,723.50

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Solution

The third proportional to 475,807.50 and 694,723.50 is: 1,014,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,807.50 : 694,723.50 = 694,723.50 : x
  2. Step 2: Convert to fraction form
    475,807.50/694,723.50 = 694,723.50/x
  3. Step 3: Cross multiply
    475,807.50x = 694,723.50 × 694,723.50
  4. Step 4: Simplify right side
    475,807.50x = 482,640,741,452.25
  5. Step 5: Solve for x
    x = 482,640,741,452.25/475,807.50
  6. Step 6: Final answer
    x = 1,014,361.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.