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Finding the Third Proportional to 705 and 808.50

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Solution

The third proportional to 705 and 808.50 is: 927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 808.50 = 808.50 : x
  2. Step 2: Convert to fraction form
    705/808.50 = 808.50/x
  3. Step 3: Cross multiply
    705x = 808.50 × 808.50
  4. Step 4: Simplify right side
    705x = 653,672.25
  5. Step 5: Solve for x
    x = 653,672.25/705
  6. Step 6: Final answer
    x = 927.19

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.