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Finding the Third Proportional to 693.84 and 957.94

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Solution

The third proportional to 693.84 and 957.94 is: 1,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.84 : 957.94 = 957.94 : x
  2. Step 2: Convert to fraction form
    693.84/957.94 = 957.94/x
  3. Step 3: Cross multiply
    693.84x = 957.94 × 957.94
  4. Step 4: Simplify right side
    693.84x = 917,644.25
  5. Step 5: Solve for x
    x = 917,644.25/693.84
  6. Step 6: Final answer
    x = 1,322.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.