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Finding the Third Proportional to 660.94 and 1,056.38

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Solution

The third proportional to 660.94 and 1,056.38 is: 1,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.94 : 1,056.38 = 1,056.38 : x
  2. Step 2: Convert to fraction form
    660.94/1,056.38 = 1,056.38/x
  3. Step 3: Cross multiply
    660.94x = 1,056.38 × 1,056.38
  4. Step 4: Simplify right side
    660.94x = 1,115,928.14
  5. Step 5: Solve for x
    x = 1,115,928.14/660.94
  6. Step 6: Final answer
    x = 1,688.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.