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Finding the Third Proportional to 258,869 and 604,614

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Solution

The third proportional to 258,869 and 604,614 is: 1,412,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,869 : 604,614 = 604,614 : x
  2. Step 2: Convert to fraction form
    258,869/604,614 = 604,614/x
  3. Step 3: Cross multiply
    258,869x = 604,614 × 604,614
  4. Step 4: Simplify right side
    258,869x = 365,558,088,996
  5. Step 5: Solve for x
    x = 365,558,088,996/258,869
  6. Step 6: Final answer
    x = 1,412,135.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.