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Finding the Third Proportional to 306,082.50 and 475,107

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Solution

The third proportional to 306,082.50 and 475,107 is: 737,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,082.50 : 475,107 = 475,107 : x
  2. Step 2: Convert to fraction form
    306,082.50/475,107 = 475,107/x
  3. Step 3: Cross multiply
    306,082.50x = 475,107 × 475,107
  4. Step 4: Simplify right side
    306,082.50x = 225,726,661,449
  5. Step 5: Solve for x
    x = 225,726,661,449/306,082.50
  6. Step 6: Final answer
    x = 737,470.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.