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Finding the Third Proportional to 354,917 and 531,828.50

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Solution

The third proportional to 354,917 and 531,828.50 is: 796,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,917 : 531,828.50 = 531,828.50 : x
  2. Step 2: Convert to fraction form
    354,917/531,828.50 = 531,828.50/x
  3. Step 3: Cross multiply
    354,917x = 531,828.50 × 531,828.50
  4. Step 4: Simplify right side
    354,917x = 282,841,553,412.25
  5. Step 5: Solve for x
    x = 282,841,553,412.25/354,917
  6. Step 6: Final answer
    x = 796,923.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.