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Finding the Third Proportional to 562.31 and 1,181.63

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Solution

The third proportional to 562.31 and 1,181.63 is: 2,483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.31 : 1,181.63 = 1,181.63 : x
  2. Step 2: Convert to fraction form
    562.31/1,181.63 = 1,181.63/x
  3. Step 3: Cross multiply
    562.31x = 1,181.63 × 1,181.63
  4. Step 4: Simplify right side
    562.31x = 1,396,237.64
  5. Step 5: Solve for x
    x = 1,396,237.64/562.31
  6. Step 6: Final answer
    x = 2,483.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.