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Finding the Third Proportional to 651.50 and 977.38

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Solution

The third proportional to 651.50 and 977.38 is: 1,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.50 : 977.38 = 977.38 : x
  2. Step 2: Convert to fraction form
    651.50/977.38 = 977.38/x
  3. Step 3: Cross multiply
    651.50x = 977.38 × 977.38
  4. Step 4: Simplify right side
    651.50x = 955,261.89
  5. Step 5: Solve for x
    x = 955,261.89/651.50
  6. Step 6: Final answer
    x = 1,466.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.