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Finding the Third Proportional to 639.13 and 1,010.19

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Solution

The third proportional to 639.13 and 1,010.19 is: 1,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.13 : 1,010.19 = 1,010.19 : x
  2. Step 2: Convert to fraction form
    639.13/1,010.19 = 1,010.19/x
  3. Step 3: Cross multiply
    639.13x = 1,010.19 × 1,010.19
  4. Step 4: Simplify right side
    639.13x = 1,020,478.79
  5. Step 5: Solve for x
    x = 1,020,478.79/639.13
  6. Step 6: Final answer
    x = 1,596.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.