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Finding the Third Proportional to 305,878.50 and 667,053

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Solution

The third proportional to 305,878.50 and 667,053 is: 1,454,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,878.50 : 667,053 = 667,053 : x
  2. Step 2: Convert to fraction form
    305,878.50/667,053 = 667,053/x
  3. Step 3: Cross multiply
    305,878.50x = 667,053 × 667,053
  4. Step 4: Simplify right side
    305,878.50x = 444,959,704,809
  5. Step 5: Solve for x
    x = 444,959,704,809/305,878.50
  6. Step 6: Final answer
    x = 1,454,694.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.