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Finding the Third Proportional to 382,053 and 581,837

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Solution

The third proportional to 382,053 and 581,837 is: 886,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,053 : 581,837 = 581,837 : x
  2. Step 2: Convert to fraction form
    382,053/581,837 = 581,837/x
  3. Step 3: Cross multiply
    382,053x = 581,837 × 581,837
  4. Step 4: Simplify right side
    382,053x = 338,534,294,569
  5. Step 5: Solve for x
    x = 338,534,294,569/382,053
  6. Step 6: Final answer
    x = 886,092.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.