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Finding the Third Proportional to 376,313 and 804,998

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Solution

The third proportional to 376,313 and 804,998 is: 1,722,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,313 : 804,998 = 804,998 : x
  2. Step 2: Convert to fraction form
    376,313/804,998 = 804,998/x
  3. Step 3: Cross multiply
    376,313x = 804,998 × 804,998
  4. Step 4: Simplify right side
    376,313x = 648,021,780,004
  5. Step 5: Solve for x
    x = 648,021,780,004/376,313
  6. Step 6: Final answer
    x = 1,722,028.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.