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Finding the Third Proportional to 234,474,792 and 501,218,184

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Solution

The third proportional to 234,474,792 and 501,218,184 is: 1,071,414,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,474,792 : 501,218,184 = 501,218,184 : x
  2. Step 2: Convert to fraction form
    234,474,792/501,218,184 = 501,218,184/x
  3. Step 3: Cross multiply
    234,474,792x = 501,218,184 × 501,218,184
  4. Step 4: Simplify right side
    234,474,792x = 251,219,667,972,257,856
  5. Step 5: Solve for x
    x = 251,219,667,972,257,856/234,474,792
  6. Step 6: Final answer
    x = 1,071,414,397.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.