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Finding the Third Proportional to 331,828 and 510,324

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Solution

The third proportional to 331,828 and 510,324 is: 784,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,828 : 510,324 = 510,324 : x
  2. Step 2: Convert to fraction form
    331,828/510,324 = 510,324/x
  3. Step 3: Cross multiply
    331,828x = 510,324 × 510,324
  4. Step 4: Simplify right side
    331,828x = 260,430,584,976
  5. Step 5: Solve for x
    x = 260,430,584,976/331,828
  6. Step 6: Final answer
    x = 784,836.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.