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Finding the Third Proportional to 646.84 and 967.36

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Solution

The third proportional to 646.84 and 967.36 is: 1,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.84 : 967.36 = 967.36 : x
  2. Step 2: Convert to fraction form
    646.84/967.36 = 967.36/x
  3. Step 3: Cross multiply
    646.84x = 967.36 × 967.36
  4. Step 4: Simplify right side
    646.84x = 935,784.16
  5. Step 5: Solve for x
    x = 935,784.16/646.84
  6. Step 6: Final answer
    x = 1,446.70

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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.