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Finding the Third Proportional to 261,998 and 533,631

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Solution

The third proportional to 261,998 and 533,631 is: 1,086,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,998 : 533,631 = 533,631 : x
  2. Step 2: Convert to fraction form
    261,998/533,631 = 533,631/x
  3. Step 3: Cross multiply
    261,998x = 533,631 × 533,631
  4. Step 4: Simplify right side
    261,998x = 284,762,044,161
  5. Step 5: Solve for x
    x = 284,762,044,161/261,998
  6. Step 6: Final answer
    x = 1,086,886.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.