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Finding the Third Proportional to 699,799.50 and 949,569.75

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Solution

The third proportional to 699,799.50 and 949,569.75 is: 1,288,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,799.50 : 949,569.75 = 949,569.75 : x
  2. Step 2: Convert to fraction form
    699,799.50/949,569.75 = 949,569.75/x
  3. Step 3: Cross multiply
    699,799.50x = 949,569.75 × 949,569.75
  4. Step 4: Simplify right side
    699,799.50x = 901,682,710,115.06
  5. Step 5: Solve for x
    x = 901,682,710,115.06/699,799.50
  6. Step 6: Final answer
    x = 1,288,487.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.