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Finding the Third Proportional to 245,668 and 517,424

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Solution

The third proportional to 245,668 and 517,424 is: 1,089,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,668 : 517,424 = 517,424 : x
  2. Step 2: Convert to fraction form
    245,668/517,424 = 517,424/x
  3. Step 3: Cross multiply
    245,668x = 517,424 × 517,424
  4. Step 4: Simplify right side
    245,668x = 267,727,595,776
  5. Step 5: Solve for x
    x = 267,727,595,776/245,668
  6. Step 6: Final answer
    x = 1,089,794.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.