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Finding the Third Proportional to 491.06 and 662.48

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Solution

The third proportional to 491.06 and 662.48 is: 893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 662.48 = 662.48 : x
  2. Step 2: Convert to fraction form
    491.06/662.48 = 662.48/x
  3. Step 3: Cross multiply
    491.06x = 662.48 × 662.48
  4. Step 4: Simplify right side
    491.06x = 438,885.55
  5. Step 5: Solve for x
    x = 438,885.55/491.06
  6. Step 6: Final answer
    x = 893.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.