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Finding the Third Proportional to 366,816 and 773,448

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Solution

The third proportional to 366,816 and 773,448 is: 1,630,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,816 : 773,448 = 773,448 : x
  2. Step 2: Convert to fraction form
    366,816/773,448 = 773,448/x
  3. Step 3: Cross multiply
    366,816x = 773,448 × 773,448
  4. Step 4: Simplify right side
    366,816x = 598,221,808,704
  5. Step 5: Solve for x
    x = 598,221,808,704/366,816
  6. Step 6: Final answer
    x = 1,630,849.82

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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.