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Finding the Third Proportional to 277,903 and 565,627

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Solution

The third proportional to 277,903 and 565,627 is: 1,151,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,903 : 565,627 = 565,627 : x
  2. Step 2: Convert to fraction form
    277,903/565,627 = 565,627/x
  3. Step 3: Cross multiply
    277,903x = 565,627 × 565,627
  4. Step 4: Simplify right side
    277,903x = 319,933,903,129
  5. Step 5: Solve for x
    x = 319,933,903,129/277,903
  6. Step 6: Final answer
    x = 1,151,243.07

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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.