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Finding the Third Proportional to 376,017 and 582,513

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Solution

The third proportional to 376,017 and 582,513 is: 902,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,017 : 582,513 = 582,513 : x
  2. Step 2: Convert to fraction form
    376,017/582,513 = 582,513/x
  3. Step 3: Cross multiply
    376,017x = 582,513 × 582,513
  4. Step 4: Simplify right side
    376,017x = 339,321,395,169
  5. Step 5: Solve for x
    x = 339,321,395,169/376,017
  6. Step 6: Final answer
    x = 902,409.72

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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.