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Finding the Third Proportional to 277,437,174 and 603,714,458

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Solution

The third proportional to 277,437,174 and 603,714,458 is: 1,313,706,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,437,174 : 603,714,458 = 603,714,458 : x
  2. Step 2: Convert to fraction form
    277,437,174/603,714,458 = 603,714,458/x
  3. Step 3: Cross multiply
    277,437,174x = 603,714,458 × 603,714,458
  4. Step 4: Simplify right side
    277,437,174x = 364,471,146,798,233,792
  5. Step 5: Solve for x
    x = 364,471,146,798,233,792/277,437,174
  6. Step 6: Final answer
    x = 1,313,706,961.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.