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Finding the Third Proportional to 414,651 and 635,082

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Solution

The third proportional to 414,651 and 635,082 is: 972,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,651 : 635,082 = 635,082 : x
  2. Step 2: Convert to fraction form
    414,651/635,082 = 635,082/x
  3. Step 3: Cross multiply
    414,651x = 635,082 × 635,082
  4. Step 4: Simplify right side
    414,651x = 403,329,146,724
  5. Step 5: Solve for x
    x = 403,329,146,724/414,651
  6. Step 6: Final answer
    x = 972,695.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.