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Finding the Third Proportional to 327,411,796 and 490,997,470

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Solution

The third proportional to 327,411,796 and 490,997,470 is: 736,315,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,411,796 : 490,997,470 = 490,997,470 : x
  2. Step 2: Convert to fraction form
    327,411,796/490,997,470 = 490,997,470/x
  3. Step 3: Cross multiply
    327,411,796x = 490,997,470 × 490,997,470
  4. Step 4: Simplify right side
    327,411,796x = 241,078,515,546,400,896
  5. Step 5: Solve for x
    x = 241,078,515,546,400,896/327,411,796
  6. Step 6: Final answer
    x = 736,315,913.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.