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Finding the Third Proportional to 253,896 and 593,372

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Solution

The third proportional to 253,896 and 593,372 is: 1,386,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,896 : 593,372 = 593,372 : x
  2. Step 2: Convert to fraction form
    253,896/593,372 = 593,372/x
  3. Step 3: Cross multiply
    253,896x = 593,372 × 593,372
  4. Step 4: Simplify right side
    253,896x = 352,090,330,384
  5. Step 5: Solve for x
    x = 352,090,330,384/253,896
  6. Step 6: Final answer
    x = 1,386,750.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.