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Finding the Third Proportional to 277,691,114 and 578,366,464

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Solution

The third proportional to 277,691,114 and 578,366,464 is: 1,204,603,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,691,114 : 578,366,464 = 578,366,464 : x
  2. Step 2: Convert to fraction form
    277,691,114/578,366,464 = 578,366,464/x
  3. Step 3: Cross multiply
    277,691,114x = 578,366,464 × 578,366,464
  4. Step 4: Simplify right side
    277,691,114x = 334,507,766,679,863,296
  5. Step 5: Solve for x
    x = 334,507,766,679,863,296/277,691,114
  6. Step 6: Final answer
    x = 1,204,603,783.90

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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.