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Finding the Third Proportional to 282,596 and 396,058

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Solution

The third proportional to 282,596 and 396,058 is: 555,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,596 : 396,058 = 396,058 : x
  2. Step 2: Convert to fraction form
    282,596/396,058 = 396,058/x
  3. Step 3: Cross multiply
    282,596x = 396,058 × 396,058
  4. Step 4: Simplify right side
    282,596x = 156,861,939,364
  5. Step 5: Solve for x
    x = 156,861,939,364/282,596
  6. Step 6: Final answer
    x = 555,074.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.