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Finding the Third Proportional to 277,941 and 542,058

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Solution

The third proportional to 277,941 and 542,058 is: 1,057,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,941 : 542,058 = 542,058 : x
  2. Step 2: Convert to fraction form
    277,941/542,058 = 542,058/x
  3. Step 3: Cross multiply
    277,941x = 542,058 × 542,058
  4. Step 4: Simplify right side
    277,941x = 293,826,875,364
  5. Step 5: Solve for x
    x = 293,826,875,364/277,941
  6. Step 6: Final answer
    x = 1,057,155.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.