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Finding the Third Proportional to 466.59 and 1,008.91

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Solution

The third proportional to 466.59 and 1,008.91 is: 2,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.59 : 1,008.91 = 1,008.91 : x
  2. Step 2: Convert to fraction form
    466.59/1,008.91 = 1,008.91/x
  3. Step 3: Cross multiply
    466.59x = 1,008.91 × 1,008.91
  4. Step 4: Simplify right side
    466.59x = 1,017,907.59
  5. Step 5: Solve for x
    x = 1,017,907.59/466.59
  6. Step 6: Final answer
    x = 2,181.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.