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Finding the Third Proportional to 322,777.13 and 498,052.69

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Solution

The third proportional to 322,777.13 and 498,052.69 is: 768,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,777.13 : 498,052.69 = 498,052.69 : x
  2. Step 2: Convert to fraction form
    322,777.13/498,052.69 = 498,052.69/x
  3. Step 3: Cross multiply
    322,777.13x = 498,052.69 × 498,052.69
  4. Step 4: Simplify right side
    322,777.13x = 248,056,479,525.97
  5. Step 5: Solve for x
    x = 248,056,479,525.97/322,777.13
  6. Step 6: Final answer
    x = 768,507.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.