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Finding the Third Proportional to 257,100 and 532,074

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Solution

The third proportional to 257,100 and 532,074 is: 1,101,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,100 : 532,074 = 532,074 : x
  2. Step 2: Convert to fraction form
    257,100/532,074 = 532,074/x
  3. Step 3: Cross multiply
    257,100x = 532,074 × 532,074
  4. Step 4: Simplify right side
    257,100x = 283,102,741,476
  5. Step 5: Solve for x
    x = 283,102,741,476/257,100
  6. Step 6: Final answer
    x = 1,101,138.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.