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Finding the Third Proportional to 382,956 and 536,641

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Solution

The third proportional to 382,956 and 536,641 is: 752,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,956 : 536,641 = 536,641 : x
  2. Step 2: Convert to fraction form
    382,956/536,641 = 536,641/x
  3. Step 3: Cross multiply
    382,956x = 536,641 × 536,641
  4. Step 4: Simplify right side
    382,956x = 287,983,562,881
  5. Step 5: Solve for x
    x = 287,983,562,881/382,956
  6. Step 6: Final answer
    x = 752,001.70

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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.