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Finding the Third Proportional to 276,462,819 and 593,953,474

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Solution

The third proportional to 276,462,819 and 593,953,474 is: 1,276,051,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,462,819 : 593,953,474 = 593,953,474 : x
  2. Step 2: Convert to fraction form
    276,462,819/593,953,474 = 593,953,474/x
  3. Step 3: Cross multiply
    276,462,819x = 593,953,474 × 593,953,474
  4. Step 4: Simplify right side
    276,462,819x = 352,780,729,276,668,672
  5. Step 5: Solve for x
    x = 352,780,729,276,668,672/276,462,819
  6. Step 6: Final answer
    x = 1,276,051,262.71

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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.