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Finding the Third Proportional to 187,530 and 404,582

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Solution

The third proportional to 187,530 and 404,582 is: 872,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,530 : 404,582 = 404,582 : x
  2. Step 2: Convert to fraction form
    187,530/404,582 = 404,582/x
  3. Step 3: Cross multiply
    187,530x = 404,582 × 404,582
  4. Step 4: Simplify right side
    187,530x = 163,686,594,724
  5. Step 5: Solve for x
    x = 163,686,594,724/187,530
  6. Step 6: Final answer
    x = 872,855.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.