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Finding the Third Proportional to 582,661 and 787,225

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Solution

The third proportional to 582,661 and 787,225 is: 1,063,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,661 : 787,225 = 787,225 : x
  2. Step 2: Convert to fraction form
    582,661/787,225 = 787,225/x
  3. Step 3: Cross multiply
    582,661x = 787,225 × 787,225
  4. Step 4: Simplify right side
    582,661x = 619,723,200,625
  5. Step 5: Solve for x
    x = 619,723,200,625/582,661
  6. Step 6: Final answer
    x = 1,063,608.51

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.