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Finding the Third Proportional to 648,288 and 981,360

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Solution

The third proportional to 648,288 and 981,360 is: 1,485,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,288 : 981,360 = 981,360 : x
  2. Step 2: Convert to fraction form
    648,288/981,360 = 981,360/x
  3. Step 3: Cross multiply
    648,288x = 981,360 × 981,360
  4. Step 4: Simplify right side
    648,288x = 963,067,449,600
  5. Step 5: Solve for x
    x = 963,067,449,600/648,288
  6. Step 6: Final answer
    x = 1,485,554.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.