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Finding the Third Proportional to 382,957 and 536,644

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Solution

The third proportional to 382,957 and 536,644 is: 752,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,957 : 536,644 = 536,644 : x
  2. Step 2: Convert to fraction form
    382,957/536,644 = 536,644/x
  3. Step 3: Cross multiply
    382,957x = 536,644 × 536,644
  4. Step 4: Simplify right side
    382,957x = 287,986,782,736
  5. Step 5: Solve for x
    x = 287,986,782,736/382,957
  6. Step 6: Final answer
    x = 752,008.14

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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.