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Finding the Third Proportional to 276,313,560 and 599,248,234

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Solution

The third proportional to 276,313,560 and 599,248,234 is: 1,299,604,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,313,560 : 599,248,234 = 599,248,234 : x
  2. Step 2: Convert to fraction form
    276,313,560/599,248,234 = 599,248,234/x
  3. Step 3: Cross multiply
    276,313,560x = 599,248,234 × 599,248,234
  4. Step 4: Simplify right side
    276,313,560x = 359,098,445,952,118,784
  5. Step 5: Solve for x
    x = 359,098,445,952,118,784/276,313,560
  6. Step 6: Final answer
    x = 1,299,604,861.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.