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Finding the Third Proportional to 277,356 and 567,855

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Solution

The third proportional to 277,356 and 567,855 is: 1,162,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,356 : 567,855 = 567,855 : x
  2. Step 2: Convert to fraction form
    277,356/567,855 = 567,855/x
  3. Step 3: Cross multiply
    277,356x = 567,855 × 567,855
  4. Step 4: Simplify right side
    277,356x = 322,459,301,025
  5. Step 5: Solve for x
    x = 322,459,301,025/277,356
  6. Step 6: Final answer
    x = 1,162,618.80

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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.