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Finding the Third Proportional to 277,906 and 565,633

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Solution

The third proportional to 277,906 and 565,633 is: 1,151,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,906 : 565,633 = 565,633 : x
  2. Step 2: Convert to fraction form
    277,906/565,633 = 565,633/x
  3. Step 3: Cross multiply
    277,906x = 565,633 × 565,633
  4. Step 4: Simplify right side
    277,906x = 319,940,690,689
  5. Step 5: Solve for x
    x = 319,940,690,689/277,906
  6. Step 6: Final answer
    x = 1,151,255.07

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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.