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Finding the Third Proportional to 324,031.50 and 444,987

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Solution

The third proportional to 324,031.50 and 444,987 is: 611,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,031.50 : 444,987 = 444,987 : x
  2. Step 2: Convert to fraction form
    324,031.50/444,987 = 444,987/x
  3. Step 3: Cross multiply
    324,031.50x = 444,987 × 444,987
  4. Step 4: Simplify right side
    324,031.50x = 198,013,430,169
  5. Step 5: Solve for x
    x = 198,013,430,169/324,031.50
  6. Step 6: Final answer
    x = 611,093.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.