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Finding the Third Proportional to 331,193.81 and 525,290.06

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Solution

The third proportional to 331,193.81 and 525,290.06 is: 833,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,193.81 : 525,290.06 = 525,290.06 : x
  2. Step 2: Convert to fraction form
    331,193.81/525,290.06 = 525,290.06/x
  3. Step 3: Cross multiply
    331,193.81x = 525,290.06 × 525,290.06
  4. Step 4: Simplify right side
    331,193.81x = 275,929,649,761.25
  5. Step 5: Solve for x
    x = 275,929,649,761.25/331,193.81
  6. Step 6: Final answer
    x = 833,136.49

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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.