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Finding the Third Proportional to 293,230 and 485,259

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Solution

The third proportional to 293,230 and 485,259 is: 803,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,230 : 485,259 = 485,259 : x
  2. Step 2: Convert to fraction form
    293,230/485,259 = 485,259/x
  3. Step 3: Cross multiply
    293,230x = 485,259 × 485,259
  4. Step 4: Simplify right side
    293,230x = 235,476,297,081
  5. Step 5: Solve for x
    x = 235,476,297,081/293,230
  6. Step 6: Final answer
    x = 803,042.99

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.