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Finding the Third Proportional to 303,648.75 and 432,553.50

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Solution

The third proportional to 303,648.75 and 432,553.50 is: 616,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,648.75 : 432,553.50 = 432,553.50 : x
  2. Step 2: Convert to fraction form
    303,648.75/432,553.50 = 432,553.50/x
  3. Step 3: Cross multiply
    303,648.75x = 432,553.50 × 432,553.50
  4. Step 4: Simplify right side
    303,648.75x = 187,102,530,362.25
  5. Step 5: Solve for x
    x = 187,102,530,362.25/303,648.75
  6. Step 6: Final answer
    x = 616,180.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.