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Finding the Third Proportional to 277,359 and 567,861

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Solution

The third proportional to 277,359 and 567,861 is: 1,162,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,359 : 567,861 = 567,861 : x
  2. Step 2: Convert to fraction form
    277,359/567,861 = 567,861/x
  3. Step 3: Cross multiply
    277,359x = 567,861 × 567,861
  4. Step 4: Simplify right side
    277,359x = 322,466,115,321
  5. Step 5: Solve for x
    x = 322,466,115,321/277,359
  6. Step 6: Final answer
    x = 1,162,630.80

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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.