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Finding the Third Proportional to 322,824,439 and 452,986,615

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Solution

The third proportional to 322,824,439 and 452,986,615 is: 635,629,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,824,439 : 452,986,615 = 452,986,615 : x
  2. Step 2: Convert to fraction form
    322,824,439/452,986,615 = 452,986,615/x
  3. Step 3: Cross multiply
    322,824,439x = 452,986,615 × 452,986,615
  4. Step 4: Simplify right side
    322,824,439x = 205,196,873,369,158,240
  5. Step 5: Solve for x
    x = 205,196,873,369,158,240/322,824,439
  6. Step 6: Final answer
    x = 635,629,923.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.