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Finding the Third Proportional to 322,404 and 498,733

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Solution

The third proportional to 322,404 and 498,733 is: 771,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,404 : 498,733 = 498,733 : x
  2. Step 2: Convert to fraction form
    322,404/498,733 = 498,733/x
  3. Step 3: Cross multiply
    322,404x = 498,733 × 498,733
  4. Step 4: Simplify right side
    322,404x = 248,734,605,289
  5. Step 5: Solve for x
    x = 248,734,605,289/322,404
  6. Step 6: Final answer
    x = 771,499.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.