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Finding the Third Proportional to 273,111.75 and 596,251.13

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Solution

The third proportional to 273,111.75 and 596,251.13 is: 1,301,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,111.75 : 596,251.13 = 596,251.13 : x
  2. Step 2: Convert to fraction form
    273,111.75/596,251.13 = 596,251.13/x
  3. Step 3: Cross multiply
    273,111.75x = 596,251.13 × 596,251.13
  4. Step 4: Simplify right side
    273,111.75x = 355,515,404,063.77
  5. Step 5: Solve for x
    x = 355,515,404,063.77/273,111.75
  6. Step 6: Final answer
    x = 1,301,721.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.