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Finding the Third Proportional to 465,475.50 and 664,404

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Solution

The third proportional to 465,475.50 and 664,404 is: 948,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,475.50 : 664,404 = 664,404 : x
  2. Step 2: Convert to fraction form
    465,475.50/664,404 = 664,404/x
  3. Step 3: Cross multiply
    465,475.50x = 664,404 × 664,404
  4. Step 4: Simplify right side
    465,475.50x = 441,432,675,216
  5. Step 5: Solve for x
    x = 441,432,675,216/465,475.50
  6. Step 6: Final answer
    x = 948,347.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.