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Finding the Third Proportional to 323,068.50 and 462,449.25

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Solution

The third proportional to 323,068.50 and 462,449.25 is: 661,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,068.50 : 462,449.25 = 462,449.25 : x
  2. Step 2: Convert to fraction form
    323,068.50/462,449.25 = 462,449.25/x
  3. Step 3: Cross multiply
    323,068.50x = 462,449.25 × 462,449.25
  4. Step 4: Simplify right side
    323,068.50x = 213,859,308,825.56
  5. Step 5: Solve for x
    x = 213,859,308,825.56/323,068.50
  6. Step 6: Final answer
    x = 661,962.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.