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Finding the Third Proportional to 235,474 and 508,662

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Solution

The third proportional to 235,474 and 508,662 is: 1,098,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,474 : 508,662 = 508,662 : x
  2. Step 2: Convert to fraction form
    235,474/508,662 = 508,662/x
  3. Step 3: Cross multiply
    235,474x = 508,662 × 508,662
  4. Step 4: Simplify right side
    235,474x = 258,737,030,244
  5. Step 5: Solve for x
    x = 258,737,030,244/235,474
  6. Step 6: Final answer
    x = 1,098,792.35

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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.