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Finding the Third Proportional to 308,049.75 and 473,293.13

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Solution

The third proportional to 308,049.75 and 473,293.13 is: 727,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,049.75 : 473,293.13 = 473,293.13 : x
  2. Step 2: Convert to fraction form
    308,049.75/473,293.13 = 473,293.13/x
  3. Step 3: Cross multiply
    308,049.75x = 473,293.13 × 473,293.13
  4. Step 4: Simplify right side
    308,049.75x = 224,006,382,172.27
  5. Step 5: Solve for x
    x = 224,006,382,172.27/308,049.75
  6. Step 6: Final answer
    x = 727,175.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.