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Finding the Third Proportional to 277,338.94 and 576,001.13

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Solution

The third proportional to 277,338.94 and 576,001.13 is: 1,196,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,338.94 : 576,001.13 = 576,001.13 : x
  2. Step 2: Convert to fraction form
    277,338.94/576,001.13 = 576,001.13/x
  3. Step 3: Cross multiply
    277,338.94x = 576,001.13 × 576,001.13
  4. Step 4: Simplify right side
    277,338.94x = 331,777,296,001.27
  5. Step 5: Solve for x
    x = 331,777,296,001.27/277,338.94
  6. Step 6: Final answer
    x = 1,196,288.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.