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Finding the Third Proportional to 380,184 and 531,525

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Solution

The third proportional to 380,184 and 531,525 is: 743,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,184 : 531,525 = 531,525 : x
  2. Step 2: Convert to fraction form
    380,184/531,525 = 531,525/x
  3. Step 3: Cross multiply
    380,184x = 531,525 × 531,525
  4. Step 4: Simplify right side
    380,184x = 282,518,825,625
  5. Step 5: Solve for x
    x = 282,518,825,625/380,184
  6. Step 6: Final answer
    x = 743,110.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.