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Finding the Third Proportional to 331,526 and 508,738

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Solution

The third proportional to 331,526 and 508,738 is: 780,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,526 : 508,738 = 508,738 : x
  2. Step 2: Convert to fraction form
    331,526/508,738 = 508,738/x
  3. Step 3: Cross multiply
    331,526x = 508,738 × 508,738
  4. Step 4: Simplify right side
    331,526x = 258,814,352,644
  5. Step 5: Solve for x
    x = 258,814,352,644/331,526
  6. Step 6: Final answer
    x = 780,675.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.