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Finding the Third Proportional to 272,427,264 and 422,995,392

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Solution

The third proportional to 272,427,264 and 422,995,392 is: 656,781,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,427,264 : 422,995,392 = 422,995,392 : x
  2. Step 2: Convert to fraction form
    272,427,264/422,995,392 = 422,995,392/x
  3. Step 3: Cross multiply
    272,427,264x = 422,995,392 × 422,995,392
  4. Step 4: Simplify right side
    272,427,264x = 178,925,101,653,233,664
  5. Step 5: Solve for x
    x = 178,925,101,653,233,664/272,427,264
  6. Step 6: Final answer
    x = 656,781,186.38

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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.