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Finding the Third Proportional to 462.13 and 705.19

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Solution

The third proportional to 462.13 and 705.19 is: 1,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.13 : 705.19 = 705.19 : x
  2. Step 2: Convert to fraction form
    462.13/705.19 = 705.19/x
  3. Step 3: Cross multiply
    462.13x = 705.19 × 705.19
  4. Step 4: Simplify right side
    462.13x = 497,289.41
  5. Step 5: Solve for x
    x = 497,289.41/462.13
  6. Step 6: Final answer
    x = 1,076.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.