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Finding the Third Proportional to 375,984 and 582,552

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Solution

The third proportional to 375,984 and 582,552 is: 902,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,984 : 582,552 = 582,552 : x
  2. Step 2: Convert to fraction form
    375,984/582,552 = 582,552/x
  3. Step 3: Cross multiply
    375,984x = 582,552 × 582,552
  4. Step 4: Simplify right side
    375,984x = 339,366,832,704
  5. Step 5: Solve for x
    x = 339,366,832,704/375,984
  6. Step 6: Final answer
    x = 902,609.77

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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.