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Finding the Third Proportional to 349,892 and 557,012

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Solution

The third proportional to 349,892 and 557,012 is: 886,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,892 : 557,012 = 557,012 : x
  2. Step 2: Convert to fraction form
    349,892/557,012 = 557,012/x
  3. Step 3: Cross multiply
    349,892x = 557,012 × 557,012
  4. Step 4: Simplify right side
    349,892x = 310,262,368,144
  5. Step 5: Solve for x
    x = 310,262,368,144/349,892
  6. Step 6: Final answer
    x = 886,737.53

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