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Finding the Third Proportional to 297,405,924.75 and 644,220,553.50

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Solution

The third proportional to 297,405,924.75 and 644,220,553.50 is: 1,395,466,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,405,924.75 : 644,220,553.50 = 644,220,553.50 : x
  2. Step 2: Convert to fraction form
    297,405,924.75/644,220,553.50 = 644,220,553.50/x
  3. Step 3: Cross multiply
    297,405,924.75x = 644,220,553.50 × 644,220,553.50
  4. Step 4: Simplify right side
    297,405,924.75x = 415,020,121,551,846,336
  5. Step 5: Solve for x
    x = 415,020,121,551,846,336/297,405,924.75
  6. Step 6: Final answer
    x = 1,395,466,892.26

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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.