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Finding the Third Proportional to 297.50 and 417.75

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Solution

The third proportional to 297.50 and 417.75 is: 586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.50 : 417.75 = 417.75 : x
  2. Step 2: Convert to fraction form
    297.50/417.75 = 417.75/x
  3. Step 3: Cross multiply
    297.50x = 417.75 × 417.75
  4. Step 4: Simplify right side
    297.50x = 174,515.06
  5. Step 5: Solve for x
    x = 174,515.06/297.50
  6. Step 6: Final answer
    x = 586.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.