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Finding the Third Proportional to 660.02 and 1,030.36

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Solution

The third proportional to 660.02 and 1,030.36 is: 1,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.02 : 1,030.36 = 1,030.36 : x
  2. Step 2: Convert to fraction form
    660.02/1,030.36 = 1,030.36/x
  3. Step 3: Cross multiply
    660.02x = 1,030.36 × 1,030.36
  4. Step 4: Simplify right side
    660.02x = 1,061,640.44
  5. Step 5: Solve for x
    x = 1,061,640.44/660.02
  6. Step 6: Final answer
    x = 1,608.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.