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Finding the Third Proportional to 378,426 and 630,686

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Solution

The third proportional to 378,426 and 630,686 is: 1,051,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,426 : 630,686 = 630,686 : x
  2. Step 2: Convert to fraction form
    378,426/630,686 = 630,686/x
  3. Step 3: Cross multiply
    378,426x = 630,686 × 630,686
  4. Step 4: Simplify right side
    378,426x = 397,764,830,596
  5. Step 5: Solve for x
    x = 397,764,830,596/378,426
  6. Step 6: Final answer
    x = 1,051,103.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.