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Finding the Third Proportional to 321,983,544 and 502,107,176

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Solution

The third proportional to 321,983,544 and 502,107,176 is: 782,995,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,983,544 : 502,107,176 = 502,107,176 : x
  2. Step 2: Convert to fraction form
    321,983,544/502,107,176 = 502,107,176/x
  3. Step 3: Cross multiply
    321,983,544x = 502,107,176 × 502,107,176
  4. Step 4: Simplify right side
    321,983,544x = 252,111,616,190,694,976
  5. Step 5: Solve for x
    x = 252,111,616,190,694,976/321,983,544
  6. Step 6: Final answer
    x = 782,995,345.22

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.