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Finding the Third Proportional to 256,398,462 and 521,858,214

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Solution

The third proportional to 256,398,462 and 521,858,214 is: 1,062,159,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,398,462 : 521,858,214 = 521,858,214 : x
  2. Step 2: Convert to fraction form
    256,398,462/521,858,214 = 521,858,214/x
  3. Step 3: Cross multiply
    256,398,462x = 521,858,214 × 521,858,214
  4. Step 4: Simplify right side
    256,398,462x = 272,335,995,519,269,792
  5. Step 5: Solve for x
    x = 272,335,995,519,269,792/256,398,462
  6. Step 6: Final answer
    x = 1,062,159,239.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.