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Finding the Third Proportional to 272,424.38 and 593,895.09

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Solution

The third proportional to 272,424.38 and 593,895.09 is: 1,294,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,424.38 : 593,895.09 = 593,895.09 : x
  2. Step 2: Convert to fraction form
    272,424.38/593,895.09 = 593,895.09/x
  3. Step 3: Cross multiply
    272,424.38x = 593,895.09 × 593,895.09
  4. Step 4: Simplify right side
    272,424.38x = 352,711,382,380.32
  5. Step 5: Solve for x
    x = 352,711,382,380.32/272,424.38
  6. Step 6: Final answer
    x = 1,294,713.01

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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.