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Finding the Third Proportional to 354,974 and 772,144

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Solution

The third proportional to 354,974 and 772,144 is: 1,679,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,974 : 772,144 = 772,144 : x
  2. Step 2: Convert to fraction form
    354,974/772,144 = 772,144/x
  3. Step 3: Cross multiply
    354,974x = 772,144 × 772,144
  4. Step 4: Simplify right side
    354,974x = 596,206,356,736
  5. Step 5: Solve for x
    x = 596,206,356,736/354,974
  6. Step 6: Final answer
    x = 1,679,577.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.