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Finding the Third Proportional to 297,384,202 and 644,193,196

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Solution

The third proportional to 297,384,202 and 644,193,196 is: 1,395,450,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,384,202 : 644,193,196 = 644,193,196 : x
  2. Step 2: Convert to fraction form
    297,384,202/644,193,196 = 644,193,196/x
  3. Step 3: Cross multiply
    297,384,202x = 644,193,196 × 644,193,196
  4. Step 4: Simplify right side
    297,384,202x = 414,984,873,772,694,400
  5. Step 5: Solve for x
    x = 414,984,873,772,694,400/297,384,202
  6. Step 6: Final answer
    x = 1,395,450,299.58

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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.