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Finding the Third Proportional to 276,343 and 405,448

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Solution

The third proportional to 276,343 and 405,448 is: 594,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,343 : 405,448 = 405,448 : x
  2. Step 2: Convert to fraction form
    276,343/405,448 = 405,448/x
  3. Step 3: Cross multiply
    276,343x = 405,448 × 405,448
  4. Step 4: Simplify right side
    276,343x = 164,388,080,704
  5. Step 5: Solve for x
    x = 164,388,080,704/276,343
  6. Step 6: Final answer
    x = 594,869.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.