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Finding the Third Proportional to 497.81 and 1,036.41

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Solution

The third proportional to 497.81 and 1,036.41 is: 2,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.81 : 1,036.41 = 1,036.41 : x
  2. Step 2: Convert to fraction form
    497.81/1,036.41 = 1,036.41/x
  3. Step 3: Cross multiply
    497.81x = 1,036.41 × 1,036.41
  4. Step 4: Simplify right side
    497.81x = 1,074,137.92
  5. Step 5: Solve for x
    x = 1,074,137.92/497.81
  6. Step 6: Final answer
    x = 2,157.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.