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Finding the Third Proportional to 664,321.50 and 1,031,481

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Solution

The third proportional to 664,321.50 and 1,031,481 is: 1,601,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,321.50 : 1,031,481 = 1,031,481 : x
  2. Step 2: Convert to fraction form
    664,321.50/1,031,481 = 1,031,481/x
  3. Step 3: Cross multiply
    664,321.50x = 1,031,481 × 1,031,481
  4. Step 4: Simplify right side
    664,321.50x = 1,063,953,053,361
  5. Step 5: Solve for x
    x = 1,063,953,053,361/664,321.50
  6. Step 6: Final answer
    x = 1,601,563.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.