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Finding the Third Proportional to 248,717 and 532,921

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Solution

The third proportional to 248,717 and 532,921 is: 1,141,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,717 : 532,921 = 532,921 : x
  2. Step 2: Convert to fraction form
    248,717/532,921 = 532,921/x
  3. Step 3: Cross multiply
    248,717x = 532,921 × 532,921
  4. Step 4: Simplify right side
    248,717x = 284,004,792,241
  5. Step 5: Solve for x
    x = 284,004,792,241/248,717
  6. Step 6: Final answer
    x = 1,141,879.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.