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Finding the Third Proportional to 354,508.50 and 532,020.75

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Solution

The third proportional to 354,508.50 and 532,020.75 is: 798,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,508.50 : 532,020.75 = 532,020.75 : x
  2. Step 2: Convert to fraction form
    354,508.50/532,020.75 = 532,020.75/x
  3. Step 3: Cross multiply
    354,508.50x = 532,020.75 × 532,020.75
  4. Step 4: Simplify right side
    354,508.50x = 283,046,078,430.56
  5. Step 5: Solve for x
    x = 283,046,078,430.56/354,508.50
  6. Step 6: Final answer
    x = 798,418.31

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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.