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Finding the Third Proportional to 277,310 and 567,764

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Solution

The third proportional to 277,310 and 567,764 is: 1,162,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,310 : 567,764 = 567,764 : x
  2. Step 2: Convert to fraction form
    277,310/567,764 = 567,764/x
  3. Step 3: Cross multiply
    277,310x = 567,764 × 567,764
  4. Step 4: Simplify right side
    277,310x = 322,355,959,696
  5. Step 5: Solve for x
    x = 322,355,959,696/277,310
  6. Step 6: Final answer
    x = 1,162,439.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.