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Finding the Third Proportional to 277,297 and 567,735

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Solution

The third proportional to 277,297 and 567,735 is: 1,162,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,297 : 567,735 = 567,735 : x
  2. Step 2: Convert to fraction form
    277,297/567,735 = 567,735/x
  3. Step 3: Cross multiply
    277,297x = 567,735 × 567,735
  4. Step 4: Simplify right side
    277,297x = 322,323,030,225
  5. Step 5: Solve for x
    x = 322,323,030,225/277,297
  6. Step 6: Final answer
    x = 1,162,374.75

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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.