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Finding the Third Proportional to 277,511.06 and 594,388.13

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Solution

The third proportional to 277,511.06 and 594,388.13 is: 1,273,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,511.06 : 594,388.13 = 594,388.13 : x
  2. Step 2: Convert to fraction form
    277,511.06/594,388.13 = 594,388.13/x
  3. Step 3: Cross multiply
    277,511.06x = 594,388.13 × 594,388.13
  4. Step 4: Simplify right side
    277,511.06x = 353,297,243,141.02
  5. Step 5: Solve for x
    x = 353,297,243,141.02/277,511.06
  6. Step 6: Final answer
    x = 1,273,092.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.