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Finding the Third Proportional to 467,856 and 725,760

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Solution

The third proportional to 467,856 and 725,760 is: 1,125,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,856 : 725,760 = 725,760 : x
  2. Step 2: Convert to fraction form
    467,856/725,760 = 725,760/x
  3. Step 3: Cross multiply
    467,856x = 725,760 × 725,760
  4. Step 4: Simplify right side
    467,856x = 526,727,577,600
  5. Step 5: Solve for x
    x = 526,727,577,600/467,856
  6. Step 6: Final answer
    x = 1,125,832.69

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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.