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Finding the Third Proportional to 321,983,824 and 502,107,584

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Solution

The third proportional to 321,983,824 and 502,107,584 is: 782,995,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,983,824 : 502,107,584 = 502,107,584 : x
  2. Step 2: Convert to fraction form
    321,983,824/502,107,584 = 502,107,584/x
  3. Step 3: Cross multiply
    321,983,824x = 502,107,584 × 502,107,584
  4. Step 4: Simplify right side
    321,983,824x = 252,112,025,910,317,056
  5. Step 5: Solve for x
    x = 252,112,025,910,317,056/321,983,824
  6. Step 6: Final answer
    x = 782,995,936.81

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Why These Related Problems?

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