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Finding the Third Proportional to 272,721.94 and 595,015.88

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Solution

The third proportional to 272,721.94 and 595,015.88 is: 1,298,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,721.94 : 595,015.88 = 595,015.88 : x
  2. Step 2: Convert to fraction form
    272,721.94/595,015.88 = 595,015.88/x
  3. Step 3: Cross multiply
    272,721.94x = 595,015.88 × 595,015.88
  4. Step 4: Simplify right side
    272,721.94x = 354,043,891,502.02
  5. Step 5: Solve for x
    x = 354,043,891,502.02/272,721.94
  6. Step 6: Final answer
    x = 1,298,186.33

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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.