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Finding the Third Proportional to 339,023.25 and 525,280.50

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Solution

The third proportional to 339,023.25 and 525,280.50 is: 813,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,023.25 : 525,280.50 = 525,280.50 : x
  2. Step 2: Convert to fraction form
    339,023.25/525,280.50 = 525,280.50/x
  3. Step 3: Cross multiply
    339,023.25x = 525,280.50 × 525,280.50
  4. Step 4: Simplify right side
    339,023.25x = 275,919,603,680.25
  5. Step 5: Solve for x
    x = 275,919,603,680.25/339,023.25
  6. Step 6: Final answer
    x = 813,866.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.