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Finding the Third Proportional to 277,691,036 and 578,366,360

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Solution

The third proportional to 277,691,036 and 578,366,360 is: 1,204,603,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,691,036 : 578,366,360 = 578,366,360 : x
  2. Step 2: Convert to fraction form
    277,691,036/578,366,360 = 578,366,360/x
  3. Step 3: Cross multiply
    277,691,036x = 578,366,360 × 578,366,360
  4. Step 4: Simplify right side
    277,691,036x = 334,507,646,379,649,600
  5. Step 5: Solve for x
    x = 334,507,646,379,649,600/277,691,036
  6. Step 6: Final answer
    x = 1,204,603,689.04

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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.