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Finding the Third Proportional to 538,896 and 808,344

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Solution

The third proportional to 538,896 and 808,344 is: 1,212,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,896 : 808,344 = 808,344 : x
  2. Step 2: Convert to fraction form
    538,896/808,344 = 808,344/x
  3. Step 3: Cross multiply
    538,896x = 808,344 × 808,344
  4. Step 4: Simplify right side
    538,896x = 653,420,022,336
  5. Step 5: Solve for x
    x = 653,420,022,336/538,896
  6. Step 6: Final answer
    x = 1,212,516

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Why These Related Problems?

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