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Finding the Third Proportional to 182,962 and 400,484

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Solution

The third proportional to 182,962 and 400,484 is: 876,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,962 : 400,484 = 400,484 : x
  2. Step 2: Convert to fraction form
    182,962/400,484 = 400,484/x
  3. Step 3: Cross multiply
    182,962x = 400,484 × 400,484
  4. Step 4: Simplify right side
    182,962x = 160,387,434,256
  5. Step 5: Solve for x
    x = 160,387,434,256/182,962
  6. Step 6: Final answer
    x = 876,616.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.