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Finding the Third Proportional to 397,202 and 588,085

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Solution

The third proportional to 397,202 and 588,085 is: 870,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,202 : 588,085 = 588,085 : x
  2. Step 2: Convert to fraction form
    397,202/588,085 = 588,085/x
  3. Step 3: Cross multiply
    397,202x = 588,085 × 588,085
  4. Step 4: Simplify right side
    397,202x = 345,843,967,225
  5. Step 5: Solve for x
    x = 345,843,967,225/397,202
  6. Step 6: Final answer
    x = 870,700.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.