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Finding the Third Proportional to 621.84 and 955.34

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Solution

The third proportional to 621.84 and 955.34 is: 1,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.84 : 955.34 = 955.34 : x
  2. Step 2: Convert to fraction form
    621.84/955.34 = 955.34/x
  3. Step 3: Cross multiply
    621.84x = 955.34 × 955.34
  4. Step 4: Simplify right side
    621.84x = 912,666.75
  5. Step 5: Solve for x
    x = 912,666.75/621.84
  6. Step 6: Final answer
    x = 1,467.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.