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Finding the Third Proportional to 324,077.20 and 466,844.77

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Solution

The third proportional to 324,077.20 and 466,844.77 is: 672,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,077.20 : 466,844.77 = 466,844.77 : x
  2. Step 2: Convert to fraction form
    324,077.20/466,844.77 = 466,844.77/x
  3. Step 3: Cross multiply
    324,077.20x = 466,844.77 × 466,844.77
  4. Step 4: Simplify right side
    324,077.20x = 217,944,035,191.46
  5. Step 5: Solve for x
    x = 217,944,035,191.46/324,077.20
  6. Step 6: Final answer
    x = 672,506.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.