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Finding the Third Proportional to 384.75 and 589.22

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Solution

The third proportional to 384.75 and 589.22 is: 902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 589.22 = 589.22 : x
  2. Step 2: Convert to fraction form
    384.75/589.22 = 589.22/x
  3. Step 3: Cross multiply
    384.75x = 589.22 × 589.22
  4. Step 4: Simplify right side
    384.75x = 347,178.74
  5. Step 5: Solve for x
    x = 347,178.74/384.75
  6. Step 6: Final answer
    x = 902.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.