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Finding the Third Proportional to 429,023.53 and 582,009.75

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Solution

The third proportional to 429,023.53 and 582,009.75 is: 789,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,023.53 : 582,009.75 = 582,009.75 : x
  2. Step 2: Convert to fraction form
    429,023.53/582,009.75 = 582,009.75/x
  3. Step 3: Cross multiply
    429,023.53x = 582,009.75 × 582,009.75
  4. Step 4: Simplify right side
    429,023.53x = 338,735,349,095.06
  5. Step 5: Solve for x
    x = 338,735,349,095.06/429,023.53
  6. Step 6: Final answer
    x = 789,549.58

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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.