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Finding the Third Proportional to 467,275,856 and 726,400,608

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Solution

The third proportional to 467,275,856 and 726,400,608 is: 1,129,221,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,275,856 : 726,400,608 = 726,400,608 : x
  2. Step 2: Convert to fraction form
    467,275,856/726,400,608 = 726,400,608/x
  3. Step 3: Cross multiply
    467,275,856x = 726,400,608 × 726,400,608
  4. Step 4: Simplify right side
    467,275,856x = 527,657,843,302,769,664
  5. Step 5: Solve for x
    x = 527,657,843,302,769,664/467,275,856
  6. Step 6: Final answer
    x = 1,129,221,286.59

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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.