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Finding the Third Proportional to 458.63 and 1,005

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Solution

The third proportional to 458.63 and 1,005 is: 2,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.63 : 1,005 = 1,005 : x
  2. Step 2: Convert to fraction form
    458.63/1,005 = 1,005/x
  3. Step 3: Cross multiply
    458.63x = 1,005 × 1,005
  4. Step 4: Simplify right side
    458.63x = 1,010,025
  5. Step 5: Solve for x
    x = 1,010,025/458.63
  6. Step 6: Final answer
    x = 2,202.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.