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Finding the Third Proportional to 375,632 and 582,540

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Solution

The third proportional to 375,632 and 582,540 is: 903,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,632 : 582,540 = 582,540 : x
  2. Step 2: Convert to fraction form
    375,632/582,540 = 582,540/x
  3. Step 3: Cross multiply
    375,632x = 582,540 × 582,540
  4. Step 4: Simplify right side
    375,632x = 339,352,851,600
  5. Step 5: Solve for x
    x = 339,352,851,600/375,632
  6. Step 6: Final answer
    x = 903,418.38

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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.