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Finding the Third Proportional to 207,884 and 313,707

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Solution

The third proportional to 207,884 and 313,707 is: 473,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,884 : 313,707 = 313,707 : x
  2. Step 2: Convert to fraction form
    207,884/313,707 = 313,707/x
  3. Step 3: Cross multiply
    207,884x = 313,707 × 313,707
  4. Step 4: Simplify right side
    207,884x = 98,412,081,849
  5. Step 5: Solve for x
    x = 98,412,081,849/207,884
  6. Step 6: Final answer
    x = 473,399.02

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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.