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Finding the Third Proportional to 388.69 and 583.03

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Solution

The third proportional to 388.69 and 583.03 is: 874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.69 : 583.03 = 583.03 : x
  2. Step 2: Convert to fraction form
    388.69/583.03 = 583.03/x
  3. Step 3: Cross multiply
    388.69x = 583.03 × 583.03
  4. Step 4: Simplify right side
    388.69x = 339,925.44
  5. Step 5: Solve for x
    x = 339,925.44/388.69
  6. Step 6: Final answer
    x = 874.55

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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.