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Finding the Third Proportional to 277,938 and 542,052

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Solution

The third proportional to 277,938 and 542,052 is: 1,057,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,938 : 542,052 = 542,052 : x
  2. Step 2: Convert to fraction form
    277,938/542,052 = 542,052/x
  3. Step 3: Cross multiply
    277,938x = 542,052 × 542,052
  4. Step 4: Simplify right side
    277,938x = 293,820,370,704
  5. Step 5: Solve for x
    x = 293,820,370,704/277,938
  6. Step 6: Final answer
    x = 1,057,143.57

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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.