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Finding the Third Proportional to 303,265 and 660,350

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Solution

The third proportional to 303,265 and 660,350 is: 1,437,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,265 : 660,350 = 660,350 : x
  2. Step 2: Convert to fraction form
    303,265/660,350 = 660,350/x
  3. Step 3: Cross multiply
    303,265x = 660,350 × 660,350
  4. Step 4: Simplify right side
    303,265x = 436,062,122,500
  5. Step 5: Solve for x
    x = 436,062,122,500/303,265
  6. Step 6: Final answer
    x = 1,437,891.36

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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.