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Finding the Third Proportional to 366,958 and 773,704

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Solution

The third proportional to 366,958 and 773,704 is: 1,631,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,958 : 773,704 = 773,704 : x
  2. Step 2: Convert to fraction form
    366,958/773,704 = 773,704/x
  3. Step 3: Cross multiply
    366,958x = 773,704 × 773,704
  4. Step 4: Simplify right side
    366,958x = 598,617,879,616
  5. Step 5: Solve for x
    x = 598,617,879,616/366,958
  6. Step 6: Final answer
    x = 1,631,298.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.