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Finding the Third Proportional to 265,988 and 398,082

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Solution

The third proportional to 265,988 and 398,082 is: 595,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,988 : 398,082 = 398,082 : x
  2. Step 2: Convert to fraction form
    265,988/398,082 = 398,082/x
  3. Step 3: Cross multiply
    265,988x = 398,082 × 398,082
  4. Step 4: Simplify right side
    265,988x = 158,469,278,724
  5. Step 5: Solve for x
    x = 158,469,278,724/265,988
  6. Step 6: Final answer
    x = 595,776.05

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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.