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Finding the Third Proportional to 232,971.50 and 509,561

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Solution

The third proportional to 232,971.50 and 509,561 is: 1,114,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,971.50 : 509,561 = 509,561 : x
  2. Step 2: Convert to fraction form
    232,971.50/509,561 = 509,561/x
  3. Step 3: Cross multiply
    232,971.50x = 509,561 × 509,561
  4. Step 4: Simplify right side
    232,971.50x = 259,652,412,721
  5. Step 5: Solve for x
    x = 259,652,412,721/232,971.50
  6. Step 6: Final answer
    x = 1,114,524.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.