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Finding the Third Proportional to 532,364 and 814,493

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Solution

The third proportional to 532,364 and 814,493 is: 1,246,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,364 : 814,493 = 814,493 : x
  2. Step 2: Convert to fraction form
    532,364/814,493 = 814,493/x
  3. Step 3: Cross multiply
    532,364x = 814,493 × 814,493
  4. Step 4: Simplify right side
    532,364x = 663,398,847,049
  5. Step 5: Solve for x
    x = 663,398,847,049/532,364
  6. Step 6: Final answer
    x = 1,246,137.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.