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Finding the Third Proportional to 323,321.63 and 496,281.94

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Solution

The third proportional to 323,321.63 and 496,281.94 is: 761,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,321.63 : 496,281.94 = 496,281.94 : x
  2. Step 2: Convert to fraction form
    323,321.63/496,281.94 = 496,281.94/x
  3. Step 3: Cross multiply
    323,321.63x = 496,281.94 × 496,281.94
  4. Step 4: Simplify right side
    323,321.63x = 246,295,761,488.75
  5. Step 5: Solve for x
    x = 246,295,761,488.75/323,321.63
  6. Step 6: Final answer
    x = 761,767.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.