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Finding the Third Proportional to 536,553 and 726,093

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Solution

The third proportional to 536,553 and 726,093 is: 982,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,553 : 726,093 = 726,093 : x
  2. Step 2: Convert to fraction form
    536,553/726,093 = 726,093/x
  3. Step 3: Cross multiply
    536,553x = 726,093 × 726,093
  4. Step 4: Simplify right side
    536,553x = 527,211,044,649
  5. Step 5: Solve for x
    x = 527,211,044,649/536,553
  6. Step 6: Final answer
    x = 982,588.94

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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.