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Finding the Third Proportional to 323,205.75 and 687,262.50

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Solution

The third proportional to 323,205.75 and 687,262.50 is: 1,461,390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,205.75 : 687,262.50 = 687,262.50 : x
  2. Step 2: Convert to fraction form
    323,205.75/687,262.50 = 687,262.50/x
  3. Step 3: Cross multiply
    323,205.75x = 687,262.50 × 687,262.50
  4. Step 4: Simplify right side
    323,205.75x = 472,329,743,906.25
  5. Step 5: Solve for x
    x = 472,329,743,906.25/323,205.75
  6. Step 6: Final answer
    x = 1,461,390.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.