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Finding the Third Proportional to 277,606,848 and 603,002,724

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Solution

The third proportional to 277,606,848 and 603,002,724 is: 1,309,810,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,606,848 : 603,002,724 = 603,002,724 : x
  2. Step 2: Convert to fraction form
    277,606,848/603,002,724 = 603,002,724/x
  3. Step 3: Cross multiply
    277,606,848x = 603,002,724 × 603,002,724
  4. Step 4: Simplify right side
    277,606,848x = 363,612,285,151,420,160
  5. Step 5: Solve for x
    x = 363,612,285,151,420,160/277,606,848
  6. Step 6: Final answer
    x = 1,309,810,214.59

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Why These Related Problems?

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