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Finding the Third Proportional to 364,766.75 and 582,722.50

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Solution

The third proportional to 364,766.75 and 582,722.50 is: 930,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,766.75 : 582,722.50 = 582,722.50 : x
  2. Step 2: Convert to fraction form
    364,766.75/582,722.50 = 582,722.50/x
  3. Step 3: Cross multiply
    364,766.75x = 582,722.50 × 582,722.50
  4. Step 4: Simplify right side
    364,766.75x = 339,565,512,006.25
  5. Step 5: Solve for x
    x = 339,565,512,006.25/364,766.75
  6. Step 6: Final answer
    x = 930,911.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.