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Finding the Third Proportional to 538,595.25 and 819,083.25

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Solution

The third proportional to 538,595.25 and 819,083.25 is: 1,245,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,595.25 : 819,083.25 = 819,083.25 : x
  2. Step 2: Convert to fraction form
    538,595.25/819,083.25 = 819,083.25/x
  3. Step 3: Cross multiply
    538,595.25x = 819,083.25 × 819,083.25
  4. Step 4: Simplify right side
    538,595.25x = 670,897,370,430.56
  5. Step 5: Solve for x
    x = 670,897,370,430.56/538,595.25
  6. Step 6: Final answer
    x = 1,245,642.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.