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Finding the Third Proportional to 353,883 and 769,973

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Solution

The third proportional to 353,883 and 769,973 is: 1,675,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,883 : 769,973 = 769,973 : x
  2. Step 2: Convert to fraction form
    353,883/769,973 = 769,973/x
  3. Step 3: Cross multiply
    353,883x = 769,973 × 769,973
  4. Step 4: Simplify right side
    353,883x = 592,858,420,729
  5. Step 5: Solve for x
    x = 592,858,420,729/353,883
  6. Step 6: Final answer
    x = 1,675,295.00

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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.