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Finding the Third Proportional to 277,288 and 567,711

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Solution

The third proportional to 277,288 and 567,711 is: 1,162,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,288 : 567,711 = 567,711 : x
  2. Step 2: Convert to fraction form
    277,288/567,711 = 567,711/x
  3. Step 3: Cross multiply
    277,288x = 567,711 × 567,711
  4. Step 4: Simplify right side
    277,288x = 322,295,779,521
  5. Step 5: Solve for x
    x = 322,295,779,521/277,288
  6. Step 6: Final answer
    x = 1,162,314.20

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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.