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Finding the Third Proportional to 376,024 and 582,522

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Solution

The third proportional to 376,024 and 582,522 is: 902,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,024 : 582,522 = 582,522 : x
  2. Step 2: Convert to fraction form
    376,024/582,522 = 582,522/x
  3. Step 3: Cross multiply
    376,024x = 582,522 × 582,522
  4. Step 4: Simplify right side
    376,024x = 339,331,880,484
  5. Step 5: Solve for x
    x = 339,331,880,484/376,024
  6. Step 6: Final answer
    x = 902,420.80

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Why These Related Problems?

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