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Finding the Third Proportional to 375,508 and 782,093

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Solution

The third proportional to 375,508 and 782,093 is: 1,628,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,508 : 782,093 = 782,093 : x
  2. Step 2: Convert to fraction form
    375,508/782,093 = 782,093/x
  3. Step 3: Cross multiply
    375,508x = 782,093 × 782,093
  4. Step 4: Simplify right side
    375,508x = 611,669,460,649
  5. Step 5: Solve for x
    x = 611,669,460,649/375,508
  6. Step 6: Final answer
    x = 1,628,911.93

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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.