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Finding the Third Proportional to 277,587 and 584,172

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Solution

The third proportional to 277,587 and 584,172 is: 1,229,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,587 : 584,172 = 584,172 : x
  2. Step 2: Convert to fraction form
    277,587/584,172 = 584,172/x
  3. Step 3: Cross multiply
    277,587x = 584,172 × 584,172
  4. Step 4: Simplify right side
    277,587x = 341,256,925,584
  5. Step 5: Solve for x
    x = 341,256,925,584/277,587
  6. Step 6: Final answer
    x = 1,229,369.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.