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Finding the Third Proportional to 338,060.25 and 526,469.63

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Solution

The third proportional to 338,060.25 and 526,469.63 is: 819,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,060.25 : 526,469.63 = 526,469.63 : x
  2. Step 2: Convert to fraction form
    338,060.25/526,469.63 = 526,469.63/x
  3. Step 3: Cross multiply
    338,060.25x = 526,469.63 × 526,469.63
  4. Step 4: Simplify right side
    338,060.25x = 277,170,266,047.64
  5. Step 5: Solve for x
    x = 277,170,266,047.64/338,060.25
  6. Step 6: Final answer
    x = 819,884.22

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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.