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Finding the Third Proportional to 677,640.38 and 1,049,267.25

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Solution

The third proportional to 677,640.38 and 1,049,267.25 is: 1,624,699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,640.38 : 1,049,267.25 = 1,049,267.25 : x
  2. Step 2: Convert to fraction form
    677,640.38/1,049,267.25 = 1,049,267.25/x
  3. Step 3: Cross multiply
    677,640.38x = 1,049,267.25 × 1,049,267.25
  4. Step 4: Simplify right side
    677,640.38x = 1,100,961,761,922.56
  5. Step 5: Solve for x
    x = 1,100,961,761,922.56/677,640.38
  6. Step 6: Final answer
    x = 1,624,699.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.