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Finding the Third Proportional to 295,234.50 and 442,775

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Solution

The third proportional to 295,234.50 and 442,775 is: 664,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,234.50 : 442,775 = 442,775 : x
  2. Step 2: Convert to fraction form
    295,234.50/442,775 = 442,775/x
  3. Step 3: Cross multiply
    295,234.50x = 442,775 × 442,775
  4. Step 4: Simplify right side
    295,234.50x = 196,049,700,625
  5. Step 5: Solve for x
    x = 196,049,700,625/295,234.50
  6. Step 6: Final answer
    x = 664,047.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.