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Finding the Third Proportional to 687.75 and 1,005.75

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Solution

The third proportional to 687.75 and 1,005.75 is: 1,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.75 : 1,005.75 = 1,005.75 : x
  2. Step 2: Convert to fraction form
    687.75/1,005.75 = 1,005.75/x
  3. Step 3: Cross multiply
    687.75x = 1,005.75 × 1,005.75
  4. Step 4: Simplify right side
    687.75x = 1,011,533.06
  5. Step 5: Solve for x
    x = 1,011,533.06/687.75
  6. Step 6: Final answer
    x = 1,470.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.