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Finding the Third Proportional to 380,226 and 531,588

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Solution

The third proportional to 380,226 and 531,588 is: 743,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,226 : 531,588 = 531,588 : x
  2. Step 2: Convert to fraction form
    380,226/531,588 = 531,588/x
  3. Step 3: Cross multiply
    380,226x = 531,588 × 531,588
  4. Step 4: Simplify right side
    380,226x = 282,585,801,744
  5. Step 5: Solve for x
    x = 282,585,801,744/380,226
  6. Step 6: Final answer
    x = 743,204.84

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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.