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Finding the Third Proportional to 317,224 and 467,073

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Solution

The third proportional to 317,224 and 467,073 is: 687,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,224 : 467,073 = 467,073 : x
  2. Step 2: Convert to fraction form
    317,224/467,073 = 467,073/x
  3. Step 3: Cross multiply
    317,224x = 467,073 × 467,073
  4. Step 4: Simplify right side
    317,224x = 218,157,187,329
  5. Step 5: Solve for x
    x = 218,157,187,329/317,224
  6. Step 6: Final answer
    x = 687,707.07

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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.