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Finding the Third Proportional to 287,785,884 and 632,954,256

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Solution

The third proportional to 287,785,884 and 632,954,256 is: 1,392,115,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,785,884 : 632,954,256 = 632,954,256 : x
  2. Step 2: Convert to fraction form
    287,785,884/632,954,256 = 632,954,256/x
  3. Step 3: Cross multiply
    287,785,884x = 632,954,256 × 632,954,256
  4. Step 4: Simplify right side
    287,785,884x = 400,631,090,188,513,536
  5. Step 5: Solve for x
    x = 400,631,090,188,513,536/287,785,884
  6. Step 6: Final answer
    x = 1,392,115,153.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.