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Finding the Third Proportional to 313,728 and 473,517

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Solution

The third proportional to 313,728 and 473,517 is: 714,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,728 : 473,517 = 473,517 : x
  2. Step 2: Convert to fraction form
    313,728/473,517 = 473,517/x
  3. Step 3: Cross multiply
    313,728x = 473,517 × 473,517
  4. Step 4: Simplify right side
    313,728x = 224,218,349,289
  5. Step 5: Solve for x
    x = 224,218,349,289/313,728
  6. Step 6: Final answer
    x = 714,690.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.