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Finding the Third Proportional to 338,092.73 and 526,525.95

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Solution

The third proportional to 338,092.73 and 526,525.95 is: 819,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,092.73 : 526,525.95 = 526,525.95 : x
  2. Step 2: Convert to fraction form
    338,092.73/526,525.95 = 526,525.95/x
  3. Step 3: Cross multiply
    338,092.73x = 526,525.95 × 526,525.95
  4. Step 4: Simplify right side
    338,092.73x = 277,229,571,087.22
  5. Step 5: Solve for x
    x = 277,229,571,087.22/338,092.73
  6. Step 6: Final answer
    x = 819,980.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.