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Finding the Third Proportional to 619.75 and 971.75

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Solution

The third proportional to 619.75 and 971.75 is: 1,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.75 : 971.75 = 971.75 : x
  2. Step 2: Convert to fraction form
    619.75/971.75 = 971.75/x
  3. Step 3: Cross multiply
    619.75x = 971.75 × 971.75
  4. Step 4: Simplify right side
    619.75x = 944,298.06
  5. Step 5: Solve for x
    x = 944,298.06/619.75
  6. Step 6: Final answer
    x = 1,523.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.