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Finding the Third Proportional to 538,848 and 808,272

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Solution

The third proportional to 538,848 and 808,272 is: 1,212,408

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,848 : 808,272 = 808,272 : x
  2. Step 2: Convert to fraction form
    538,848/808,272 = 808,272/x
  3. Step 3: Cross multiply
    538,848x = 808,272 × 808,272
  4. Step 4: Simplify right side
    538,848x = 653,303,625,984
  5. Step 5: Solve for x
    x = 653,303,625,984/538,848
  6. Step 6: Final answer
    x = 1,212,408

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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.