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Finding the Third Proportional to 265,456,734 and 415,512,291

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Solution

The third proportional to 265,456,734 and 415,512,291 is: 650,390,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,456,734 : 415,512,291 = 415,512,291 : x
  2. Step 2: Convert to fraction form
    265,456,734/415,512,291 = 415,512,291/x
  3. Step 3: Cross multiply
    265,456,734x = 415,512,291 × 415,512,291
  4. Step 4: Simplify right side
    265,456,734x = 172,650,463,972,068,672
  5. Step 5: Solve for x
    x = 172,650,463,972,068,672/265,456,734
  6. Step 6: Final answer
    x = 650,390,221.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.