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Finding the Third Proportional to 354,874 and 535,998

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Solution

The third proportional to 354,874 and 535,998 is: 809,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,874 : 535,998 = 535,998 : x
  2. Step 2: Convert to fraction form
    354,874/535,998 = 535,998/x
  3. Step 3: Cross multiply
    354,874x = 535,998 × 535,998
  4. Step 4: Simplify right side
    354,874x = 287,293,856,004
  5. Step 5: Solve for x
    x = 287,293,856,004/354,874
  6. Step 6: Final answer
    x = 809,565.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.