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Finding the Third Proportional to 232,308 and 477,122.91

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Solution

The third proportional to 232,308 and 477,122.91 is: 979,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,308 : 477,122.91 = 477,122.91 : x
  2. Step 2: Convert to fraction form
    232,308/477,122.91 = 477,122.91/x
  3. Step 3: Cross multiply
    232,308x = 477,122.91 × 477,122.91
  4. Step 4: Simplify right side
    232,308x = 227,646,267,668.45
  5. Step 5: Solve for x
    x = 227,646,267,668.45/232,308
  6. Step 6: Final answer
    x = 979,932.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.