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Finding the Third Proportional to 322,824,458 and 452,986,644

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Solution

The third proportional to 322,824,458 and 452,986,644 is: 635,629,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,824,458 : 452,986,644 = 452,986,644 : x
  2. Step 2: Convert to fraction form
    322,824,458/452,986,644 = 452,986,644/x
  3. Step 3: Cross multiply
    322,824,458x = 452,986,644 × 452,986,644
  4. Step 4: Simplify right side
    322,824,458x = 205,196,899,642,382,720
  5. Step 5: Solve for x
    x = 205,196,899,642,382,720/322,824,458
  6. Step 6: Final answer
    x = 635,629,967.18

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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.