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Finding the Third Proportional to 235,668 and 508,689

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Solution

The third proportional to 235,668 and 508,689 is: 1,098,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,668 : 508,689 = 508,689 : x
  2. Step 2: Convert to fraction form
    235,668/508,689 = 508,689/x
  3. Step 3: Cross multiply
    235,668x = 508,689 × 508,689
  4. Step 4: Simplify right side
    235,668x = 258,764,498,721
  5. Step 5: Solve for x
    x = 258,764,498,721/235,668
  6. Step 6: Final answer
    x = 1,098,004.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.