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Finding the Third Proportional to 705.59 and 1,008.07

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Solution

The third proportional to 705.59 and 1,008.07 is: 1,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.59 : 1,008.07 = 1,008.07 : x
  2. Step 2: Convert to fraction form
    705.59/1,008.07 = 1,008.07/x
  3. Step 3: Cross multiply
    705.59x = 1,008.07 × 1,008.07
  4. Step 4: Simplify right side
    705.59x = 1,016,205.75
  5. Step 5: Solve for x
    x = 1,016,205.75/705.59
  6. Step 6: Final answer
    x = 1,440.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.