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Finding the Third Proportional to 456.19 and 705.94

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Solution

The third proportional to 456.19 and 705.94 is: 1,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 705.94 = 705.94 : x
  2. Step 2: Convert to fraction form
    456.19/705.94 = 705.94/x
  3. Step 3: Cross multiply
    456.19x = 705.94 × 705.94
  4. Step 4: Simplify right side
    456.19x = 498,347.75
  5. Step 5: Solve for x
    x = 498,347.75/456.19
  6. Step 6: Final answer
    x = 1,092.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.