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Finding the Third Proportional to 693.13 and 1,036.63

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Solution

The third proportional to 693.13 and 1,036.63 is: 1,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.13 : 1,036.63 = 1,036.63 : x
  2. Step 2: Convert to fraction form
    693.13/1,036.63 = 1,036.63/x
  3. Step 3: Cross multiply
    693.13x = 1,036.63 × 1,036.63
  4. Step 4: Simplify right side
    693.13x = 1,074,591.39
  5. Step 5: Solve for x
    x = 1,074,591.39/693.13
  6. Step 6: Final answer
    x = 1,550.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.