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Finding the Third Proportional to 449,021.25 and 532,057.50

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Solution

The third proportional to 449,021.25 and 532,057.50 is: 630,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,021.25 : 532,057.50 = 532,057.50 : x
  2. Step 2: Convert to fraction form
    449,021.25/532,057.50 = 532,057.50/x
  3. Step 3: Cross multiply
    449,021.25x = 532,057.50 × 532,057.50
  4. Step 4: Simplify right side
    449,021.25x = 283,085,183,306.25
  5. Step 5: Solve for x
    x = 283,085,183,306.25/449,021.25
  6. Step 6: Final answer
    x = 630,449.41

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.