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Finding the Third Proportional to 207,471 and 320,415

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Solution

The third proportional to 207,471 and 320,415 is: 494,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,471 : 320,415 = 320,415 : x
  2. Step 2: Convert to fraction form
    207,471/320,415 = 320,415/x
  3. Step 3: Cross multiply
    207,471x = 320,415 × 320,415
  4. Step 4: Simplify right side
    207,471x = 102,665,772,225
  5. Step 5: Solve for x
    x = 102,665,772,225/207,471
  6. Step 6: Final answer
    x = 494,843.96

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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.