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Finding the Third Proportional to 356,280 and 568,116

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Solution

The third proportional to 356,280 and 568,116 is: 905,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,280 : 568,116 = 568,116 : x
  2. Step 2: Convert to fraction form
    356,280/568,116 = 568,116/x
  3. Step 3: Cross multiply
    356,280x = 568,116 × 568,116
  4. Step 4: Simplify right side
    356,280x = 322,755,789,456
  5. Step 5: Solve for x
    x = 322,755,789,456/356,280
  6. Step 6: Final answer
    x = 905,904.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.