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Finding the Third Proportional to 559,238 and 889,529

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Solution

The third proportional to 559,238 and 889,529 is: 1,414,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,238 : 889,529 = 889,529 : x
  2. Step 2: Convert to fraction form
    559,238/889,529 = 889,529/x
  3. Step 3: Cross multiply
    559,238x = 889,529 × 889,529
  4. Step 4: Simplify right side
    559,238x = 791,261,841,841
  5. Step 5: Solve for x
    x = 791,261,841,841/559,238
  6. Step 6: Final answer
    x = 1,414,892.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.