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Finding the Third Proportional to 277,690,885 and 578,366,076

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Solution

The third proportional to 277,690,885 and 578,366,076 is: 1,204,603,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,690,885 : 578,366,076 = 578,366,076 : x
  2. Step 2: Convert to fraction form
    277,690,885/578,366,076 = 578,366,076/x
  3. Step 3: Cross multiply
    277,690,885x = 578,366,076 × 578,366,076
  4. Step 4: Simplify right side
    277,690,885x = 334,507,317,867,637,760
  5. Step 5: Solve for x
    x = 334,507,317,867,637,760/277,690,885
  6. Step 6: Final answer
    x = 1,204,603,161.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.