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Finding the Third Proportional to 353,082.38 and 453,348

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Solution

The third proportional to 353,082.38 and 453,348 is: 582,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,082.38 : 453,348 = 453,348 : x
  2. Step 2: Convert to fraction form
    353,082.38/453,348 = 453,348/x
  3. Step 3: Cross multiply
    353,082.38x = 453,348 × 453,348
  4. Step 4: Simplify right side
    353,082.38x = 205,524,409,104
  5. Step 5: Solve for x
    x = 205,524,409,104/353,082.38
  6. Step 6: Final answer
    x = 582,086.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.