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Finding the Third Proportional to 648,256 and 981,328

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Solution

The third proportional to 648,256 and 981,328 is: 1,485,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,256 : 981,328 = 981,328 : x
  2. Step 2: Convert to fraction form
    648,256/981,328 = 981,328/x
  3. Step 3: Cross multiply
    648,256x = 981,328 × 981,328
  4. Step 4: Simplify right side
    648,256x = 963,004,643,584
  5. Step 5: Solve for x
    x = 963,004,643,584/648,256
  6. Step 6: Final answer
    x = 1,485,531.40

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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.