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Finding the Third Proportional to 313,518 and 685,932

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Solution

The third proportional to 313,518 and 685,932 is: 1,500,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,518 : 685,932 = 685,932 : x
  2. Step 2: Convert to fraction form
    313,518/685,932 = 685,932/x
  3. Step 3: Cross multiply
    313,518x = 685,932 × 685,932
  4. Step 4: Simplify right side
    313,518x = 470,502,708,624
  5. Step 5: Solve for x
    x = 470,502,708,624/313,518
  6. Step 6: Final answer
    x = 1,500,719.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.