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Finding the Third Proportional to 323,714.25 and 660,280.50

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Solution

The third proportional to 323,714.25 and 660,280.50 is: 1,346,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,714.25 : 660,280.50 = 660,280.50 : x
  2. Step 2: Convert to fraction form
    323,714.25/660,280.50 = 660,280.50/x
  3. Step 3: Cross multiply
    323,714.25x = 660,280.50 × 660,280.50
  4. Step 4: Simplify right side
    323,714.25x = 435,970,338,680.25
  5. Step 5: Solve for x
    x = 435,970,338,680.25/323,714.25
  6. Step 6: Final answer
    x = 1,346,775.25

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.