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Finding the Third Proportional to 320,216.63 and 482,422.50

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Solution

The third proportional to 320,216.63 and 482,422.50 is: 726,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,216.63 : 482,422.50 = 482,422.50 : x
  2. Step 2: Convert to fraction form
    320,216.63/482,422.50 = 482,422.50/x
  3. Step 3: Cross multiply
    320,216.63x = 482,422.50 × 482,422.50
  4. Step 4: Simplify right side
    320,216.63x = 232,731,468,506.25
  5. Step 5: Solve for x
    x = 232,731,468,506.25/320,216.63
  6. Step 6: Final answer
    x = 726,793.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.