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Finding the Third Proportional to 493.03 and 623.11

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Solution

The third proportional to 493.03 and 623.11 is: 787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.03 : 623.11 = 623.11 : x
  2. Step 2: Convert to fraction form
    493.03/623.11 = 623.11/x
  3. Step 3: Cross multiply
    493.03x = 623.11 × 623.11
  4. Step 4: Simplify right side
    493.03x = 388,265.29
  5. Step 5: Solve for x
    x = 388,265.29/493.03
  6. Step 6: Final answer
    x = 787.51

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.