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Finding the Third Proportional to 651.94 and 977.72

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Solution

The third proportional to 651.94 and 977.72 is: 1,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.94 : 977.72 = 977.72 : x
  2. Step 2: Convert to fraction form
    651.94/977.72 = 977.72/x
  3. Step 3: Cross multiply
    651.94x = 977.72 × 977.72
  4. Step 4: Simplify right side
    651.94x = 955,933.95
  5. Step 5: Solve for x
    x = 955,933.95/651.94
  6. Step 6: Final answer
    x = 1,466.30

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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.