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Finding the Third Proportional to 317,668 and 695,479

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Solution

The third proportional to 317,668 and 695,479 is: 1,522,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,668 : 695,479 = 695,479 : x
  2. Step 2: Convert to fraction form
    317,668/695,479 = 695,479/x
  3. Step 3: Cross multiply
    317,668x = 695,479 × 695,479
  4. Step 4: Simplify right side
    317,668x = 483,691,039,441
  5. Step 5: Solve for x
    x = 483,691,039,441/317,668
  6. Step 6: Final answer
    x = 1,522,630.67

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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.