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Finding the Third Proportional to 414,454 and 608,082

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Solution

The third proportional to 414,454 and 608,082 is: 892,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,454 : 608,082 = 608,082 : x
  2. Step 2: Convert to fraction form
    414,454/608,082 = 608,082/x
  3. Step 3: Cross multiply
    414,454x = 608,082 × 608,082
  4. Step 4: Simplify right side
    414,454x = 369,763,718,724
  5. Step 5: Solve for x
    x = 369,763,718,724/414,454
  6. Step 6: Final answer
    x = 892,170.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.