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Finding the Third Proportional to 300,864.75 and 655,689

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Solution

The third proportional to 300,864.75 and 655,689 is: 1,428,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,864.75 : 655,689 = 655,689 : x
  2. Step 2: Convert to fraction form
    300,864.75/655,689 = 655,689/x
  3. Step 3: Cross multiply
    300,864.75x = 655,689 × 655,689
  4. Step 4: Simplify right side
    300,864.75x = 429,928,064,721
  5. Step 5: Solve for x
    x = 429,928,064,721/300,864.75
  6. Step 6: Final answer
    x = 1,428,974.53

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