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Finding the Third Proportional to 277,276.88 and 567,665.63

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Solution

The third proportional to 277,276.88 and 567,665.63 is: 1,162,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,276.88 : 567,665.63 = 567,665.63 : x
  2. Step 2: Convert to fraction form
    277,276.88/567,665.63 = 567,665.63/x
  3. Step 3: Cross multiply
    277,276.88x = 567,665.63 × 567,665.63
  4. Step 4: Simplify right side
    277,276.88x = 322,244,261,806.64
  5. Step 5: Solve for x
    x = 322,244,261,806.64/277,276.88
  6. Step 6: Final answer
    x = 1,162,175.03

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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.