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Finding the Third Proportional to 293,228 and 485,256

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Solution

The third proportional to 293,228 and 485,256 is: 803,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,228 : 485,256 = 485,256 : x
  2. Step 2: Convert to fraction form
    293,228/485,256 = 485,256/x
  3. Step 3: Cross multiply
    293,228x = 485,256 × 485,256
  4. Step 4: Simplify right side
    293,228x = 235,473,385,536
  5. Step 5: Solve for x
    x = 235,473,385,536/293,228
  6. Step 6: Final answer
    x = 803,038.54

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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.