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Finding the Third Proportional to 338,546.25 and 525,899.25

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Solution

The third proportional to 338,546.25 and 525,899.25 is: 816,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,546.25 : 525,899.25 = 525,899.25 : x
  2. Step 2: Convert to fraction form
    338,546.25/525,899.25 = 525,899.25/x
  3. Step 3: Cross multiply
    338,546.25x = 525,899.25 × 525,899.25
  4. Step 4: Simplify right side
    338,546.25x = 276,570,021,150.56
  5. Step 5: Solve for x
    x = 276,570,021,150.56/338,546.25
  6. Step 6: Final answer
    x = 816,934.23

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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.