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Finding the Third Proportional to 277,290 and 567,716

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Solution

The third proportional to 277,290 and 567,716 is: 1,162,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,290 : 567,716 = 567,716 : x
  2. Step 2: Convert to fraction form
    277,290/567,716 = 567,716/x
  3. Step 3: Cross multiply
    277,290x = 567,716 × 567,716
  4. Step 4: Simplify right side
    277,290x = 322,301,456,656
  5. Step 5: Solve for x
    x = 322,301,456,656/277,290
  6. Step 6: Final answer
    x = 1,162,326.29

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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.