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Finding the Third Proportional to 363,324 and 540,831

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Solution

The third proportional to 363,324 and 540,831 is: 805,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,324 : 540,831 = 540,831 : x
  2. Step 2: Convert to fraction form
    363,324/540,831 = 540,831/x
  3. Step 3: Cross multiply
    363,324x = 540,831 × 540,831
  4. Step 4: Simplify right side
    363,324x = 292,498,170,561
  5. Step 5: Solve for x
    x = 292,498,170,561/363,324
  6. Step 6: Final answer
    x = 805,061.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.