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Finding the Third Proportional to 277,917 and 565,653

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Solution

The third proportional to 277,917 and 565,653 is: 1,151,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,917 : 565,653 = 565,653 : x
  2. Step 2: Convert to fraction form
    277,917/565,653 = 565,653/x
  3. Step 3: Cross multiply
    277,917x = 565,653 × 565,653
  4. Step 4: Simplify right side
    277,917x = 319,963,316,409
  5. Step 5: Solve for x
    x = 319,963,316,409/277,917
  6. Step 6: Final answer
    x = 1,151,290.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.