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Finding the Third Proportional to 361,088 and 558,824

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Solution

The third proportional to 361,088 and 558,824 is: 864,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,088 : 558,824 = 558,824 : x
  2. Step 2: Convert to fraction form
    361,088/558,824 = 558,824/x
  3. Step 3: Cross multiply
    361,088x = 558,824 × 558,824
  4. Step 4: Simplify right side
    361,088x = 312,284,262,976
  5. Step 5: Solve for x
    x = 312,284,262,976/361,088
  6. Step 6: Final answer
    x = 864,842.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.