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Finding the Third Proportional to 538,380 and 808,866

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Solution

The third proportional to 538,380 and 808,866 is: 1,215,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,380 : 808,866 = 808,866 : x
  2. Step 2: Convert to fraction form
    538,380/808,866 = 808,866/x
  3. Step 3: Cross multiply
    538,380x = 808,866 × 808,866
  4. Step 4: Simplify right side
    538,380x = 654,264,205,956
  5. Step 5: Solve for x
    x = 654,264,205,956/538,380
  6. Step 6: Final answer
    x = 1,215,246.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.