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Finding the Third Proportional to 467,972 and 718,857

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Solution

The third proportional to 467,972 and 718,857 is: 1,104,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,972 : 718,857 = 718,857 : x
  2. Step 2: Convert to fraction form
    467,972/718,857 = 718,857/x
  3. Step 3: Cross multiply
    467,972x = 718,857 × 718,857
  4. Step 4: Simplify right side
    467,972x = 516,755,386,449
  5. Step 5: Solve for x
    x = 516,755,386,449/467,972
  6. Step 6: Final answer
    x = 1,104,244.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.