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Finding the Third Proportional to 375,842 and 582,339

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Solution

The third proportional to 375,842 and 582,339 is: 902,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,842 : 582,339 = 582,339 : x
  2. Step 2: Convert to fraction form
    375,842/582,339 = 582,339/x
  3. Step 3: Cross multiply
    375,842x = 582,339 × 582,339
  4. Step 4: Simplify right side
    375,842x = 339,118,710,921
  5. Step 5: Solve for x
    x = 339,118,710,921/375,842
  6. Step 6: Final answer
    x = 902,290.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.