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Finding the Third Proportional to 276,462,828 and 593,953,412

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Solution

The third proportional to 276,462,828 and 593,953,412 is: 1,276,050,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,462,828 : 593,953,412 = 593,953,412 : x
  2. Step 2: Convert to fraction form
    276,462,828/593,953,412 = 593,953,412/x
  3. Step 3: Cross multiply
    276,462,828x = 593,953,412 × 593,953,412
  4. Step 4: Simplify right side
    276,462,828x = 352,780,655,626,441,728
  5. Step 5: Solve for x
    x = 352,780,655,626,441,728/276,462,828
  6. Step 6: Final answer
    x = 1,276,050,954.77

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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.