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Finding the Third Proportional to 321,983,544 and 502,107,174

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Solution

The third proportional to 321,983,544 and 502,107,174 is: 782,995,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,983,544 : 502,107,174 = 502,107,174 : x
  2. Step 2: Convert to fraction form
    321,983,544/502,107,174 = 502,107,174/x
  3. Step 3: Cross multiply
    321,983,544x = 502,107,174 × 502,107,174
  4. Step 4: Simplify right side
    321,983,544x = 252,111,614,182,266,272
  5. Step 5: Solve for x
    x = 252,111,614,182,266,272/321,983,544
  6. Step 6: Final answer
    x = 782,995,338.99

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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.