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Finding the Third Proportional to 354,916 and 531,826

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Solution

The third proportional to 354,916 and 531,826 is: 796,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,916 : 531,826 = 531,826 : x
  2. Step 2: Convert to fraction form
    354,916/531,826 = 531,826/x
  3. Step 3: Cross multiply
    354,916x = 531,826 × 531,826
  4. Step 4: Simplify right side
    354,916x = 282,838,894,276
  5. Step 5: Solve for x
    x = 282,838,894,276/354,916
  6. Step 6: Final answer
    x = 796,917.85

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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.