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Finding the Third Proportional to 303,294 and 475,738.50

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Solution

The third proportional to 303,294 and 475,738.50 is: 746,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,294 : 475,738.50 = 475,738.50 : x
  2. Step 2: Convert to fraction form
    303,294/475,738.50 = 475,738.50/x
  3. Step 3: Cross multiply
    303,294x = 475,738.50 × 475,738.50
  4. Step 4: Simplify right side
    303,294x = 226,327,120,382.25
  5. Step 5: Solve for x
    x = 226,327,120,382.25/303,294
  6. Step 6: Final answer
    x = 746,230.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.