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Finding the Third Proportional to 303,659.50 and 664,523

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Solution

The third proportional to 303,659.50 and 664,523 is: 1,454,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,659.50 : 664,523 = 664,523 : x
  2. Step 2: Convert to fraction form
    303,659.50/664,523 = 664,523/x
  3. Step 3: Cross multiply
    303,659.50x = 664,523 × 664,523
  4. Step 4: Simplify right side
    303,659.50x = 441,590,817,529
  5. Step 5: Solve for x
    x = 441,590,817,529/303,659.50
  6. Step 6: Final answer
    x = 1,454,230.21

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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.