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Finding the Third Proportional to 429,040.50 and 582,032.25

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Solution

The third proportional to 429,040.50 and 582,032.25 is: 789,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,040.50 : 582,032.25 = 582,032.25 : x
  2. Step 2: Convert to fraction form
    429,040.50/582,032.25 = 582,032.25/x
  3. Step 3: Cross multiply
    429,040.50x = 582,032.25 × 582,032.25
  4. Step 4: Simplify right side
    429,040.50x = 338,761,540,040.06
  5. Step 5: Solve for x
    x = 338,761,540,040.06/429,040.50
  6. Step 6: Final answer
    x = 789,579.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.