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Finding the Third Proportional to 477.56 and 644.34

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Solution

The third proportional to 477.56 and 644.34 is: 869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.56 : 644.34 = 644.34 : x
  2. Step 2: Convert to fraction form
    477.56/644.34 = 644.34/x
  3. Step 3: Cross multiply
    477.56x = 644.34 × 644.34
  4. Step 4: Simplify right side
    477.56x = 415,178.87
  5. Step 5: Solve for x
    x = 415,178.87/477.56
  6. Step 6: Final answer
    x = 869.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.