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Finding the Third Proportional to 582,406.50 and 854,250

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Solution

The third proportional to 582,406.50 and 854,250 is: 1,252,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,406.50 : 854,250 = 854,250 : x
  2. Step 2: Convert to fraction form
    582,406.50/854,250 = 854,250/x
  3. Step 3: Cross multiply
    582,406.50x = 854,250 × 854,250
  4. Step 4: Simplify right side
    582,406.50x = 729,743,062,500
  5. Step 5: Solve for x
    x = 729,743,062,500/582,406.50
  6. Step 6: Final answer
    x = 1,252,978.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.