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Finding the Third Proportional to 277,704,134 and 597,201,838

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Solution

The third proportional to 277,704,134 and 597,201,838 is: 1,284,280,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,704,134 : 597,201,838 = 597,201,838 : x
  2. Step 2: Convert to fraction form
    277,704,134/597,201,838 = 597,201,838/x
  3. Step 3: Cross multiply
    277,704,134x = 597,201,838 × 597,201,838
  4. Step 4: Simplify right side
    277,704,134x = 356,650,035,310,578,240
  5. Step 5: Solve for x
    x = 356,650,035,310,578,240/277,704,134
  6. Step 6: Final answer
    x = 1,284,280,612.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.