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Finding the Third Proportional to 400,022 and 562,681

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Solution

The third proportional to 400,022 and 562,681 is: 791,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,022 : 562,681 = 562,681 : x
  2. Step 2: Convert to fraction form
    400,022/562,681 = 562,681/x
  3. Step 3: Cross multiply
    400,022x = 562,681 × 562,681
  4. Step 4: Simplify right side
    400,022x = 316,609,907,761
  5. Step 5: Solve for x
    x = 316,609,907,761/400,022
  6. Step 6: Final answer
    x = 791,481.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.