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Finding the Third Proportional to 630.56 and 1,012.31

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Solution

The third proportional to 630.56 and 1,012.31 is: 1,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.56 : 1,012.31 = 1,012.31 : x
  2. Step 2: Convert to fraction form
    630.56/1,012.31 = 1,012.31/x
  3. Step 3: Cross multiply
    630.56x = 1,012.31 × 1,012.31
  4. Step 4: Simplify right side
    630.56x = 1,024,776.60
  5. Step 5: Solve for x
    x = 1,024,776.60/630.56
  6. Step 6: Final answer
    x = 1,625.18

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.