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Finding the Third Proportional to 324,031.50 and 668,785.50

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Solution

The third proportional to 324,031.50 and 668,785.50 is: 1,380,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,031.50 : 668,785.50 = 668,785.50 : x
  2. Step 2: Convert to fraction form
    324,031.50/668,785.50 = 668,785.50/x
  3. Step 3: Cross multiply
    324,031.50x = 668,785.50 × 668,785.50
  4. Step 4: Simplify right side
    324,031.50x = 447,274,045,010.25
  5. Step 5: Solve for x
    x = 447,274,045,010.25/324,031.50
  6. Step 6: Final answer
    x = 1,380,341.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.