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Finding the Third Proportional to 375,323 and 582,024

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Solution

The third proportional to 375,323 and 582,024 is: 902,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,323 : 582,024 = 582,024 : x
  2. Step 2: Convert to fraction form
    375,323/582,024 = 582,024/x
  3. Step 3: Cross multiply
    375,323x = 582,024 × 582,024
  4. Step 4: Simplify right side
    375,323x = 338,751,936,576
  5. Step 5: Solve for x
    x = 338,751,936,576/375,323
  6. Step 6: Final answer
    x = 902,561.09

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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.