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Finding the Third Proportional to 380,177 and 531,511

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Solution

The third proportional to 380,177 and 531,511 is: 743,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,177 : 531,511 = 531,511 : x
  2. Step 2: Convert to fraction form
    380,177/531,511 = 531,511/x
  3. Step 3: Cross multiply
    380,177x = 531,511 × 531,511
  4. Step 4: Simplify right side
    380,177x = 282,503,943,121
  5. Step 5: Solve for x
    x = 282,503,943,121/380,177
  6. Step 6: Final answer
    x = 743,085.31

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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.