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Finding the Third Proportional to 375,340 and 582,056

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Solution

The third proportional to 375,340 and 582,056 is: 902,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,340 : 582,056 = 582,056 : x
  2. Step 2: Convert to fraction form
    375,340/582,056 = 582,056/x
  3. Step 3: Cross multiply
    375,340x = 582,056 × 582,056
  4. Step 4: Simplify right side
    375,340x = 338,789,187,136
  5. Step 5: Solve for x
    x = 338,789,187,136/375,340
  6. Step 6: Final answer
    x = 902,619.46

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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.