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Finding the Third Proportional to 830.75 and 1,305.75

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Solution

The third proportional to 830.75 and 1,305.75 is: 2,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.75 : 1,305.75 = 1,305.75 : x
  2. Step 2: Convert to fraction form
    830.75/1,305.75 = 1,305.75/x
  3. Step 3: Cross multiply
    830.75x = 1,305.75 × 1,305.75
  4. Step 4: Simplify right side
    830.75x = 1,704,983.06
  5. Step 5: Solve for x
    x = 1,704,983.06/830.75
  6. Step 6: Final answer
    x = 2,052.34

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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.