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Finding the Third Proportional to 276,462,816 and 593,953,464

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Solution

The third proportional to 276,462,816 and 593,953,464 is: 1,276,051,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,462,816 : 593,953,464 = 593,953,464 : x
  2. Step 2: Convert to fraction form
    276,462,816/593,953,464 = 593,953,464/x
  3. Step 3: Cross multiply
    276,462,816x = 593,953,464 × 593,953,464
  4. Step 4: Simplify right side
    276,462,816x = 352,780,717,397,599,296
  5. Step 5: Solve for x
    x = 352,780,717,397,599,296/276,462,816
  6. Step 6: Final answer
    x = 1,276,051,233.59

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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.