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Finding the Third Proportional to 277,101.75 and 595,644

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Solution

The third proportional to 277,101.75 and 595,644 is: 1,280,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,101.75 : 595,644 = 595,644 : x
  2. Step 2: Convert to fraction form
    277,101.75/595,644 = 595,644/x
  3. Step 3: Cross multiply
    277,101.75x = 595,644 × 595,644
  4. Step 4: Simplify right side
    277,101.75x = 354,791,774,736
  5. Step 5: Solve for x
    x = 354,791,774,736/277,101.75
  6. Step 6: Final answer
    x = 1,280,366.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.