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Finding the Third Proportional to 382,041 and 517,011

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Solution

The third proportional to 382,041 and 517,011 is: 699,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,041 : 517,011 = 517,011 : x
  2. Step 2: Convert to fraction form
    382,041/517,011 = 517,011/x
  3. Step 3: Cross multiply
    382,041x = 517,011 × 517,011
  4. Step 4: Simplify right side
    382,041x = 267,300,374,121
  5. Step 5: Solve for x
    x = 267,300,374,121/382,041
  6. Step 6: Final answer
    x = 699,664.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.