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Finding the Third Proportional to 376,469 and 552,148

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Solution

The third proportional to 376,469 and 552,148 is: 809,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,469 : 552,148 = 552,148 : x
  2. Step 2: Convert to fraction form
    376,469/552,148 = 552,148/x
  3. Step 3: Cross multiply
    376,469x = 552,148 × 552,148
  4. Step 4: Simplify right side
    376,469x = 304,867,413,904
  5. Step 5: Solve for x
    x = 304,867,413,904/376,469
  6. Step 6: Final answer
    x = 809,807.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.