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Finding the Third Proportional to 354,544 and 777,970

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Solution

The third proportional to 354,544 and 777,970 is: 1,707,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,544 : 777,970 = 777,970 : x
  2. Step 2: Convert to fraction form
    354,544/777,970 = 777,970/x
  3. Step 3: Cross multiply
    354,544x = 777,970 × 777,970
  4. Step 4: Simplify right side
    354,544x = 605,237,320,900
  5. Step 5: Solve for x
    x = 605,237,320,900/354,544
  6. Step 6: Final answer
    x = 1,707,086.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.