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Finding the Third Proportional to 375,848 and 782,704

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Solution

The third proportional to 375,848 and 782,704 is: 1,629,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,848 : 782,704 = 782,704 : x
  2. Step 2: Convert to fraction form
    375,848/782,704 = 782,704/x
  3. Step 3: Cross multiply
    375,848x = 782,704 × 782,704
  4. Step 4: Simplify right side
    375,848x = 612,625,551,616
  5. Step 5: Solve for x
    x = 612,625,551,616/375,848
  6. Step 6: Final answer
    x = 1,629,982.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.