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Finding the Third Proportional to 438.22 and 693.72

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Solution

The third proportional to 438.22 and 693.72 is: 1,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.22 : 693.72 = 693.72 : x
  2. Step 2: Convert to fraction form
    438.22/693.72 = 693.72/x
  3. Step 3: Cross multiply
    438.22x = 693.72 × 693.72
  4. Step 4: Simplify right side
    438.22x = 481,248.41
  5. Step 5: Solve for x
    x = 481,248.41/438.22
  6. Step 6: Final answer
    x = 1,098.18

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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.