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Finding the Third Proportional to 376,076 and 783,256

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Solution

The third proportional to 376,076 and 783,256 is: 1,631,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,076 : 783,256 = 783,256 : x
  2. Step 2: Convert to fraction form
    376,076/783,256 = 783,256/x
  3. Step 3: Cross multiply
    376,076x = 783,256 × 783,256
  4. Step 4: Simplify right side
    376,076x = 613,489,961,536
  5. Step 5: Solve for x
    x = 613,489,961,536/376,076
  6. Step 6: Final answer
    x = 1,631,292.51

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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.