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Finding the Third Proportional to 376,976 and 554,152

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Solution

The third proportional to 376,976 and 554,152 is: 814,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,976 : 554,152 = 554,152 : x
  2. Step 2: Convert to fraction form
    376,976/554,152 = 554,152/x
  3. Step 3: Cross multiply
    376,976x = 554,152 × 554,152
  4. Step 4: Simplify right side
    376,976x = 307,084,439,104
  5. Step 5: Solve for x
    x = 307,084,439,104/376,976
  6. Step 6: Final answer
    x = 814,599.44

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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.