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Finding the Third Proportional to 277,195.84 and 601,446.36

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Solution

The third proportional to 277,195.84 and 601,446.36 is: 1,304,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,195.84 : 601,446.36 = 601,446.36 : x
  2. Step 2: Convert to fraction form
    277,195.84/601,446.36 = 601,446.36/x
  3. Step 3: Cross multiply
    277,195.84x = 601,446.36 × 601,446.36
  4. Step 4: Simplify right side
    277,195.84x = 361,737,720,856.05
  5. Step 5: Solve for x
    x = 361,737,720,856.05/277,195.84
  6. Step 6: Final answer
    x = 1,304,989.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.