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Finding the Third Proportional to 648.89 and 973.14

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Solution

The third proportional to 648.89 and 973.14 is: 1,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.89 : 973.14 = 973.14 : x
  2. Step 2: Convert to fraction form
    648.89/973.14 = 973.14/x
  3. Step 3: Cross multiply
    648.89x = 973.14 × 973.14
  4. Step 4: Simplify right side
    648.89x = 946,997.92
  5. Step 5: Solve for x
    x = 946,997.92/648.89
  6. Step 6: Final answer
    x = 1,459.41

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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.