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Finding the Third Proportional to 376,083 and 783,270

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Solution

The third proportional to 376,083 and 783,270 is: 1,631,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,083 : 783,270 = 783,270 : x
  2. Step 2: Convert to fraction form
    376,083/783,270 = 783,270/x
  3. Step 3: Cross multiply
    376,083x = 783,270 × 783,270
  4. Step 4: Simplify right side
    376,083x = 613,511,892,900
  5. Step 5: Solve for x
    x = 613,511,892,900/376,083
  6. Step 6: Final answer
    x = 1,631,320.46

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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.