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Finding the Third Proportional to 277,901 and 565,623

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Solution

The third proportional to 277,901 and 565,623 is: 1,151,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,901 : 565,623 = 565,623 : x
  2. Step 2: Convert to fraction form
    277,901/565,623 = 565,623/x
  3. Step 3: Cross multiply
    277,901x = 565,623 × 565,623
  4. Step 4: Simplify right side
    277,901x = 319,929,378,129
  5. Step 5: Solve for x
    x = 319,929,378,129/277,901
  6. Step 6: Final answer
    x = 1,151,235.07

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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.