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Finding the Third Proportional to 313,488 and 485,568

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Solution

The third proportional to 313,488 and 485,568 is: 752,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,488 : 485,568 = 485,568 : x
  2. Step 2: Convert to fraction form
    313,488/485,568 = 485,568/x
  3. Step 3: Cross multiply
    313,488x = 485,568 × 485,568
  4. Step 4: Simplify right side
    313,488x = 235,776,282,624
  5. Step 5: Solve for x
    x = 235,776,282,624/313,488
  6. Step 6: Final answer
    x = 752,106.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.