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Finding the Third Proportional to 300,866.25 and 655,692

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Solution

The third proportional to 300,866.25 and 655,692 is: 1,428,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,866.25 : 655,692 = 655,692 : x
  2. Step 2: Convert to fraction form
    300,866.25/655,692 = 655,692/x
  3. Step 3: Cross multiply
    300,866.25x = 655,692 × 655,692
  4. Step 4: Simplify right side
    300,866.25x = 429,931,998,864
  5. Step 5: Solve for x
    x = 429,931,998,864/300,866.25
  6. Step 6: Final answer
    x = 1,428,980.48

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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.