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Finding the Third Proportional to 261,999 and 533,632

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Solution

The third proportional to 261,999 and 533,632 is: 1,086,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,999 : 533,632 = 533,632 : x
  2. Step 2: Convert to fraction form
    261,999/533,632 = 533,632/x
  3. Step 3: Cross multiply
    261,999x = 533,632 × 533,632
  4. Step 4: Simplify right side
    261,999x = 284,763,111,424
  5. Step 5: Solve for x
    x = 284,763,111,424/261,999
  6. Step 6: Final answer
    x = 1,086,886.25

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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.