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Finding the Third Proportional to 277,897 and 565,616

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Solution

The third proportional to 277,897 and 565,616 is: 1,151,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,897 : 565,616 = 565,616 : x
  2. Step 2: Convert to fraction form
    277,897/565,616 = 565,616/x
  3. Step 3: Cross multiply
    277,897x = 565,616 × 565,616
  4. Step 4: Simplify right side
    277,897x = 319,921,459,456
  5. Step 5: Solve for x
    x = 319,921,459,456/277,897
  6. Step 6: Final answer
    x = 1,151,223.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.