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Finding the Third Proportional to 277,285.88 and 567,707.25

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Solution

The third proportional to 277,285.88 and 567,707.25 is: 1,162,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,285.88 : 567,707.25 = 567,707.25 : x
  2. Step 2: Convert to fraction form
    277,285.88/567,707.25 = 567,707.25/x
  3. Step 3: Cross multiply
    277,285.88x = 567,707.25 × 567,707.25
  4. Step 4: Simplify right side
    277,285.88x = 322,291,521,702.56
  5. Step 5: Solve for x
    x = 322,291,521,702.56/277,285.88
  6. Step 6: Final answer
    x = 1,162,307.75

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.