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Finding the Third Proportional to 323,407.50 and 680,342.25

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Solution

The third proportional to 323,407.50 and 680,342.25 is: 1,431,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,407.50 : 680,342.25 = 680,342.25 : x
  2. Step 2: Convert to fraction form
    323,407.50/680,342.25 = 680,342.25/x
  3. Step 3: Cross multiply
    323,407.50x = 680,342.25 × 680,342.25
  4. Step 4: Simplify right side
    323,407.50x = 462,865,577,135.06
  5. Step 5: Solve for x
    x = 462,865,577,135.06/323,407.50
  6. Step 6: Final answer
    x = 1,431,214.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.