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Finding the Third Proportional to 324,434 and 433,974

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Solution

The third proportional to 324,434 and 433,974 is: 580,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,434 : 433,974 = 433,974 : x
  2. Step 2: Convert to fraction form
    324,434/433,974 = 433,974/x
  3. Step 3: Cross multiply
    324,434x = 433,974 × 433,974
  4. Step 4: Simplify right side
    324,434x = 188,333,432,676
  5. Step 5: Solve for x
    x = 188,333,432,676/324,434
  6. Step 6: Final answer
    x = 580,498.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.