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Finding the Third Proportional to 248,705 and 532,867

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Solution

The third proportional to 248,705 and 532,867 is: 1,141,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,705 : 532,867 = 532,867 : x
  2. Step 2: Convert to fraction form
    248,705/532,867 = 532,867/x
  3. Step 3: Cross multiply
    248,705x = 532,867 × 532,867
  4. Step 4: Simplify right side
    248,705x = 283,947,239,689
  5. Step 5: Solve for x
    x = 283,947,239,689/248,705
  6. Step 6: Final answer
    x = 1,141,702.98

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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.