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Finding the Third Proportional to 262,802 and 406,022

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Solution

The third proportional to 262,802 and 406,022 is: 627,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,802 : 406,022 = 406,022 : x
  2. Step 2: Convert to fraction form
    262,802/406,022 = 406,022/x
  3. Step 3: Cross multiply
    262,802x = 406,022 × 406,022
  4. Step 4: Simplify right side
    262,802x = 164,853,864,484
  5. Step 5: Solve for x
    x = 164,853,864,484/262,802
  6. Step 6: Final answer
    x = 627,293.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.