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Finding the Third Proportional to 297.75 and 646.69

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Solution

The third proportional to 297.75 and 646.69 is: 1,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.75 : 646.69 = 646.69 : x
  2. Step 2: Convert to fraction form
    297.75/646.69 = 646.69/x
  3. Step 3: Cross multiply
    297.75x = 646.69 × 646.69
  4. Step 4: Simplify right side
    297.75x = 418,204.72
  5. Step 5: Solve for x
    x = 418,204.72/297.75
  6. Step 6: Final answer
    x = 1,404.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.