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Finding the Third Proportional to 898.28 and 1,362.60

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Solution

The third proportional to 898.28 and 1,362.60 is: 2,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.28 : 1,362.60 = 1,362.60 : x
  2. Step 2: Convert to fraction form
    898.28/1,362.60 = 1,362.60/x
  3. Step 3: Cross multiply
    898.28x = 1,362.60 × 1,362.60
  4. Step 4: Simplify right side
    898.28x = 1,856,688.34
  5. Step 5: Solve for x
    x = 1,856,688.34/898.28
  6. Step 6: Final answer
    x = 2,066.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.