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Finding the Third Proportional to 317,259 and 467,116

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Solution

The third proportional to 317,259 and 467,116 is: 687,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,259 : 467,116 = 467,116 : x
  2. Step 2: Convert to fraction form
    317,259/467,116 = 467,116/x
  3. Step 3: Cross multiply
    317,259x = 467,116 × 467,116
  4. Step 4: Simplify right side
    317,259x = 218,197,357,456
  5. Step 5: Solve for x
    x = 218,197,357,456/317,259
  6. Step 6: Final answer
    x = 687,757.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.