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Finding the Third Proportional to 232,736 and 501,106

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Solution

The third proportional to 232,736 and 501,106 is: 1,078,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,736 : 501,106 = 501,106 : x
  2. Step 2: Convert to fraction form
    232,736/501,106 = 501,106/x
  3. Step 3: Cross multiply
    232,736x = 501,106 × 501,106
  4. Step 4: Simplify right side
    232,736x = 251,107,223,236
  5. Step 5: Solve for x
    x = 251,107,223,236/232,736
  6. Step 6: Final answer
    x = 1,078,935.89

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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.