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Finding the Third Proportional to 364,814 and 582,785

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Solution

The third proportional to 364,814 and 582,785 is: 930,990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,814 : 582,785 = 582,785 : x
  2. Step 2: Convert to fraction form
    364,814/582,785 = 582,785/x
  3. Step 3: Cross multiply
    364,814x = 582,785 × 582,785
  4. Step 4: Simplify right side
    364,814x = 339,638,356,225
  5. Step 5: Solve for x
    x = 339,638,356,225/364,814
  6. Step 6: Final answer
    x = 930,990.47

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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.