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Finding the Third Proportional to 371,844 and 558,614

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Solution

The third proportional to 371,844 and 558,614 is: 839,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,844 : 558,614 = 558,614 : x
  2. Step 2: Convert to fraction form
    371,844/558,614 = 558,614/x
  3. Step 3: Cross multiply
    371,844x = 558,614 × 558,614
  4. Step 4: Simplify right side
    371,844x = 312,049,600,996
  5. Step 5: Solve for x
    x = 312,049,600,996/371,844
  6. Step 6: Final answer
    x = 839,194.93

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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.