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Finding the Third Proportional to 297,384,204 and 644,193,200

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Solution

The third proportional to 297,384,204 and 644,193,200 is: 1,395,450,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,384,204 : 644,193,200 = 644,193,200 : x
  2. Step 2: Convert to fraction form
    297,384,204/644,193,200 = 644,193,200/x
  3. Step 3: Cross multiply
    297,384,204x = 644,193,200 × 644,193,200
  4. Step 4: Simplify right side
    297,384,204x = 414,984,878,926,240,000
  5. Step 5: Solve for x
    x = 414,984,878,926,240,000/297,384,204
  6. Step 6: Final answer
    x = 1,395,450,307.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.