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Finding the Third Proportional to 277,911 and 598,691.25

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Solution

The third proportional to 277,911 and 598,691.25 is: 1,289,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,911 : 598,691.25 = 598,691.25 : x
  2. Step 2: Convert to fraction form
    277,911/598,691.25 = 598,691.25/x
  3. Step 3: Cross multiply
    277,911x = 598,691.25 × 598,691.25
  4. Step 4: Simplify right side
    277,911x = 358,431,212,826.56
  5. Step 5: Solve for x
    x = 358,431,212,826.56/277,911
  6. Step 6: Final answer
    x = 1,289,733.81

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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.