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Finding the Third Proportional to 269,833 and 593,998

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Solution

The third proportional to 269,833 and 593,998 is: 1,307,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,833 : 593,998 = 593,998 : x
  2. Step 2: Convert to fraction form
    269,833/593,998 = 593,998/x
  3. Step 3: Cross multiply
    269,833x = 593,998 × 593,998
  4. Step 4: Simplify right side
    269,833x = 352,833,624,004
  5. Step 5: Solve for x
    x = 352,833,624,004/269,833
  6. Step 6: Final answer
    x = 1,307,599.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.