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Finding the Third Proportional to 380,236 and 531,602

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Solution

The third proportional to 380,236 and 531,602 is: 743,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,236 : 531,602 = 531,602 : x
  2. Step 2: Convert to fraction form
    380,236/531,602 = 531,602/x
  3. Step 3: Cross multiply
    380,236x = 531,602 × 531,602
  4. Step 4: Simplify right side
    380,236x = 282,600,686,404
  5. Step 5: Solve for x
    x = 282,600,686,404/380,236
  6. Step 6: Final answer
    x = 743,224.44

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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.