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Finding the Third Proportional to 232,303.50 and 479,529

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Solution

The third proportional to 232,303.50 and 479,529 is: 989,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,303.50 : 479,529 = 479,529 : x
  2. Step 2: Convert to fraction form
    232,303.50/479,529 = 479,529/x
  3. Step 3: Cross multiply
    232,303.50x = 479,529 × 479,529
  4. Step 4: Simplify right side
    232,303.50x = 229,948,061,841
  5. Step 5: Solve for x
    x = 229,948,061,841/232,303.50
  6. Step 6: Final answer
    x = 989,860.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.