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Finding the Third Proportional to 536,640 and 726,226

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Solution

The third proportional to 536,640 and 726,226 is: 982,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,640 : 726,226 = 726,226 : x
  2. Step 2: Convert to fraction form
    536,640/726,226 = 726,226/x
  3. Step 3: Cross multiply
    536,640x = 726,226 × 726,226
  4. Step 4: Simplify right side
    536,640x = 527,404,203,076
  5. Step 5: Solve for x
    x = 527,404,203,076/536,640
  6. Step 6: Final answer
    x = 982,789.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.