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Finding the Third Proportional to 380,462 and 569,504

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Solution

The third proportional to 380,462 and 569,504 is: 852,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,462 : 569,504 = 569,504 : x
  2. Step 2: Convert to fraction form
    380,462/569,504 = 569,504/x
  3. Step 3: Cross multiply
    380,462x = 569,504 × 569,504
  4. Step 4: Simplify right side
    380,462x = 324,334,806,016
  5. Step 5: Solve for x
    x = 324,334,806,016/380,462
  6. Step 6: Final answer
    x = 852,476.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.