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Finding the Third Proportional to 295,867.13 and 480,682.69

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Solution

The third proportional to 295,867.13 and 480,682.69 is: 780,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,867.13 : 480,682.69 = 480,682.69 : x
  2. Step 2: Convert to fraction form
    295,867.13/480,682.69 = 480,682.69/x
  3. Step 3: Cross multiply
    295,867.13x = 480,682.69 × 480,682.69
  4. Step 4: Simplify right side
    295,867.13x = 231,055,846,062.22
  5. Step 5: Solve for x
    x = 231,055,846,062.22/295,867.13
  6. Step 6: Final answer
    x = 780,944.64

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.