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Finding the Third Proportional to 331,524 and 500,043

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Solution

The third proportional to 331,524 and 500,043 is: 754,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,524 : 500,043 = 500,043 : x
  2. Step 2: Convert to fraction form
    331,524/500,043 = 500,043/x
  3. Step 3: Cross multiply
    331,524x = 500,043 × 500,043
  4. Step 4: Simplify right side
    331,524x = 250,043,001,849
  5. Step 5: Solve for x
    x = 250,043,001,849/331,524
  6. Step 6: Final answer
    x = 754,222.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.