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Finding the Third Proportional to 623.38 and 933.88

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Solution

The third proportional to 623.38 and 933.88 is: 1,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.38 : 933.88 = 933.88 : x
  2. Step 2: Convert to fraction form
    623.38/933.88 = 933.88/x
  3. Step 3: Cross multiply
    623.38x = 933.88 × 933.88
  4. Step 4: Simplify right side
    623.38x = 872,122.52
  5. Step 5: Solve for x
    x = 872,122.52/623.38
  6. Step 6: Final answer
    x = 1,399.03

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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.