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Finding the Third Proportional to 277,297 and 567,737

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Solution

The third proportional to 277,297 and 567,737 is: 1,162,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,297 : 567,737 = 567,737 : x
  2. Step 2: Convert to fraction form
    277,297/567,737 = 567,737/x
  3. Step 3: Cross multiply
    277,297x = 567,737 × 567,737
  4. Step 4: Simplify right side
    277,297x = 322,325,301,169
  5. Step 5: Solve for x
    x = 322,325,301,169/277,297
  6. Step 6: Final answer
    x = 1,162,382.94

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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.