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Finding the Third Proportional to 232,598 and 500,836

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Solution

The third proportional to 232,598 and 500,836 is: 1,078,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,598 : 500,836 = 500,836 : x
  2. Step 2: Convert to fraction form
    232,598/500,836 = 500,836/x
  3. Step 3: Cross multiply
    232,598x = 500,836 × 500,836
  4. Step 4: Simplify right side
    232,598x = 250,836,698,896
  5. Step 5: Solve for x
    x = 250,836,698,896/232,598
  6. Step 6: Final answer
    x = 1,078,412.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.