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Finding the Third Proportional to 491.70 and 537.26

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Solution

The third proportional to 491.70 and 537.26 is: 587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 537.26 = 537.26 : x
  2. Step 2: Convert to fraction form
    491.70/537.26 = 537.26/x
  3. Step 3: Cross multiply
    491.70x = 537.26 × 537.26
  4. Step 4: Simplify right side
    491.70x = 288,645.96
  5. Step 5: Solve for x
    x = 288,645.96/491.70
  6. Step 6: Final answer
    x = 587.04

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.