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Finding the Third Proportional to 401,215,504 and 554,388,682

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Solution

The third proportional to 401,215,504 and 554,388,682 is: 766,039,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,215,504 : 554,388,682 = 554,388,682 : x
  2. Step 2: Convert to fraction form
    401,215,504/554,388,682 = 554,388,682/x
  3. Step 3: Cross multiply
    401,215,504x = 554,388,682 × 554,388,682
  4. Step 4: Simplify right side
    401,215,504x = 307,346,810,729,697,152
  5. Step 5: Solve for x
    x = 307,346,810,729,697,152/401,215,504
  6. Step 6: Final answer
    x = 766,039,217.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.