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Finding the Third Proportional to 705.19 and 783.94

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Solution

The third proportional to 705.19 and 783.94 is: 871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.19 : 783.94 = 783.94 : x
  2. Step 2: Convert to fraction form
    705.19/783.94 = 783.94/x
  3. Step 3: Cross multiply
    705.19x = 783.94 × 783.94
  4. Step 4: Simplify right side
    705.19x = 614,558.00
  5. Step 5: Solve for x
    x = 614,558.00/705.19
  6. Step 6: Final answer
    x = 871.48

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.