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Finding the Third Proportional to 375,672 and 582,600

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Solution

The third proportional to 375,672 and 582,600 is: 903,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,672 : 582,600 = 582,600 : x
  2. Step 2: Convert to fraction form
    375,672/582,600 = 582,600/x
  3. Step 3: Cross multiply
    375,672x = 582,600 × 582,600
  4. Step 4: Simplify right side
    375,672x = 339,422,760,000
  5. Step 5: Solve for x
    x = 339,422,760,000/375,672
  6. Step 6: Final answer
    x = 903,508.27

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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.