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Finding the Third Proportional to 185,010.75 and 404,622

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Solution

The third proportional to 185,010.75 and 404,622 is: 884,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,010.75 : 404,622 = 404,622 : x
  2. Step 2: Convert to fraction form
    185,010.75/404,622 = 404,622/x
  3. Step 3: Cross multiply
    185,010.75x = 404,622 × 404,622
  4. Step 4: Simplify right side
    185,010.75x = 163,718,962,884
  5. Step 5: Solve for x
    x = 163,718,962,884/185,010.75
  6. Step 6: Final answer
    x = 884,915.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.