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Finding the Third Proportional to 375,990 and 782,966

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Solution

The third proportional to 375,990 and 782,966 is: 1,630,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,990 : 782,966 = 782,966 : x
  2. Step 2: Convert to fraction form
    375,990/782,966 = 782,966/x
  3. Step 3: Cross multiply
    375,990x = 782,966 × 782,966
  4. Step 4: Simplify right side
    375,990x = 613,035,757,156
  5. Step 5: Solve for x
    x = 613,035,757,156/375,990
  6. Step 6: Final answer
    x = 1,630,457.61

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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.