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Finding the Third Proportional to 386,046 and 582,107

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Solution

The third proportional to 386,046 and 582,107 is: 877,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,046 : 582,107 = 582,107 : x
  2. Step 2: Convert to fraction form
    386,046/582,107 = 582,107/x
  3. Step 3: Cross multiply
    386,046x = 582,107 × 582,107
  4. Step 4: Simplify right side
    386,046x = 338,848,559,449
  5. Step 5: Solve for x
    x = 338,848,559,449/386,046
  6. Step 6: Final answer
    x = 877,741.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.