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Finding the Third Proportional to 248,705 and 532,868

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Solution

The third proportional to 248,705 and 532,868 is: 1,141,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,705 : 532,868 = 532,868 : x
  2. Step 2: Convert to fraction form
    248,705/532,868 = 532,868/x
  3. Step 3: Cross multiply
    248,705x = 532,868 × 532,868
  4. Step 4: Simplify right side
    248,705x = 283,948,305,424
  5. Step 5: Solve for x
    x = 283,948,305,424/248,705
  6. Step 6: Final answer
    x = 1,141,707.27

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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.