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Finding the Third Proportional to 200,026 and 426,836

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Solution

The third proportional to 200,026 and 426,836 is: 910,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,026 : 426,836 = 426,836 : x
  2. Step 2: Convert to fraction form
    200,026/426,836 = 426,836/x
  3. Step 3: Cross multiply
    200,026x = 426,836 × 426,836
  4. Step 4: Simplify right side
    200,026x = 182,188,970,896
  5. Step 5: Solve for x
    x = 182,188,970,896/200,026
  6. Step 6: Final answer
    x = 910,826.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.