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Finding the Third Proportional to 451,982.50 and 683,805.50

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Solution

The third proportional to 451,982.50 and 683,805.50 is: 1,034,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,982.50 : 683,805.50 = 683,805.50 : x
  2. Step 2: Convert to fraction form
    451,982.50/683,805.50 = 683,805.50/x
  3. Step 3: Cross multiply
    451,982.50x = 683,805.50 × 683,805.50
  4. Step 4: Simplify right side
    451,982.50x = 467,589,961,830.25
  5. Step 5: Solve for x
    x = 467,589,961,830.25/451,982.50
  6. Step 6: Final answer
    x = 1,034,531.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.