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Finding the Third Proportional to 576,976.92 and 1,255,544.30

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Solution

The third proportional to 576,976.92 and 1,255,544.30 is: 2,732,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,976.92 : 1,255,544.30 = 1,255,544.30 : x
  2. Step 2: Convert to fraction form
    576,976.92/1,255,544.30 = 1,255,544.30/x
  3. Step 3: Cross multiply
    576,976.92x = 1,255,544.30 × 1,255,544.30
  4. Step 4: Simplify right side
    576,976.92x = 1,576,391,481,415.34
  5. Step 5: Solve for x
    x = 1,576,391,481,415.34/576,976.92
  6. Step 6: Final answer
    x = 2,732,156.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.