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Finding the Third Proportional to 376,464 and 552,141

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Solution

The third proportional to 376,464 and 552,141 is: 809,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,464 : 552,141 = 552,141 : x
  2. Step 2: Convert to fraction form
    376,464/552,141 = 552,141/x
  3. Step 3: Cross multiply
    376,464x = 552,141 × 552,141
  4. Step 4: Simplify right side
    376,464x = 304,859,683,881
  5. Step 5: Solve for x
    x = 304,859,683,881/376,464
  6. Step 6: Final answer
    x = 809,797.71

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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.