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Finding the Third Proportional to 331,193.25 and 525,291.75

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Solution

The third proportional to 331,193.25 and 525,291.75 is: 833,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,193.25 : 525,291.75 = 525,291.75 : x
  2. Step 2: Convert to fraction form
    331,193.25/525,291.75 = 525,291.75/x
  3. Step 3: Cross multiply
    331,193.25x = 525,291.75 × 525,291.75
  4. Step 4: Simplify right side
    331,193.25x = 275,931,422,618.06
  5. Step 5: Solve for x
    x = 275,931,422,618.06/331,193.25
  6. Step 6: Final answer
    x = 833,143.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.