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Finding the Third Proportional to 277,970 and 606,916

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Solution

The third proportional to 277,970 and 606,916 is: 1,325,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,970 : 606,916 = 606,916 : x
  2. Step 2: Convert to fraction form
    277,970/606,916 = 606,916/x
  3. Step 3: Cross multiply
    277,970x = 606,916 × 606,916
  4. Step 4: Simplify right side
    277,970x = 368,347,031,056
  5. Step 5: Solve for x
    x = 368,347,031,056/277,970
  6. Step 6: Final answer
    x = 1,325,132.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.