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Finding the Third Proportional to 366,961 and 567,141

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Solution

The third proportional to 366,961 and 567,141 is: 876,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,961 : 567,141 = 567,141 : x
  2. Step 2: Convert to fraction form
    366,961/567,141 = 567,141/x
  3. Step 3: Cross multiply
    366,961x = 567,141 × 567,141
  4. Step 4: Simplify right side
    366,961x = 321,648,913,881
  5. Step 5: Solve for x
    x = 321,648,913,881/366,961
  6. Step 6: Final answer
    x = 876,520.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.