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Finding the Third Proportional to 297,403,616 and 644,215,936

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Solution

The third proportional to 297,403,616 and 644,215,936 is: 1,395,457,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,403,616 : 644,215,936 = 644,215,936 : x
  2. Step 2: Convert to fraction form
    297,403,616/644,215,936 = 644,215,936/x
  3. Step 3: Cross multiply
    297,403,616x = 644,215,936 × 644,215,936
  4. Step 4: Simplify right side
    297,403,616x = 415,014,172,196,356,096
  5. Step 5: Solve for x
    x = 415,014,172,196,356,096/297,403,616
  6. Step 6: Final answer
    x = 1,395,457,720.99

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