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Finding the Third Proportional to 451,246.50 and 676,968.75

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Solution

The third proportional to 451,246.50 and 676,968.75 is: 1,015,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,246.50 : 676,968.75 = 676,968.75 : x
  2. Step 2: Convert to fraction form
    451,246.50/676,968.75 = 676,968.75/x
  3. Step 3: Cross multiply
    451,246.50x = 676,968.75 × 676,968.75
  4. Step 4: Simplify right side
    451,246.50x = 458,286,688,476.56
  5. Step 5: Solve for x
    x = 458,286,688,476.56/451,246.50
  6. Step 6: Final answer
    x = 1,015,601.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.