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Finding the Third Proportional to 382,796 and 587,586

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Solution

The third proportional to 382,796 and 587,586 is: 901,935.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,796 : 587,586 = 587,586 : x
  2. Step 2: Convert to fraction form
    382,796/587,586 = 587,586/x
  3. Step 3: Cross multiply
    382,796x = 587,586 × 587,586
  4. Step 4: Simplify right side
    382,796x = 345,257,307,396
  5. Step 5: Solve for x
    x = 345,257,307,396/382,796
  6. Step 6: Final answer
    x = 901,935.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.