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Finding the Third Proportional to 248,704.17 and 532,865.92

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Solution

The third proportional to 248,704.17 and 532,865.92 is: 1,141,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,704.17 : 532,865.92 = 532,865.92 : x
  2. Step 2: Convert to fraction form
    248,704.17/532,865.92 = 532,865.92/x
  3. Step 3: Cross multiply
    248,704.17x = 532,865.92 × 532,865.92
  4. Step 4: Simplify right side
    248,704.17x = 283,946,086,532.68
  5. Step 5: Solve for x
    x = 283,946,086,532.68/248,704.17
  6. Step 6: Final answer
    x = 1,141,702.15

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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.