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Finding the Third Proportional to 317,202 and 467,041

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Solution

The third proportional to 317,202 and 467,041 is: 687,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,202 : 467,041 = 467,041 : x
  2. Step 2: Convert to fraction form
    317,202/467,041 = 467,041/x
  3. Step 3: Cross multiply
    317,202x = 467,041 × 467,041
  4. Step 4: Simplify right side
    317,202x = 218,127,295,681
  5. Step 5: Solve for x
    x = 218,127,295,681/317,202
  6. Step 6: Final answer
    x = 687,660.53

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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.