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Finding the Third Proportional to 307,398,208 and 658,728,832

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Solution

The third proportional to 307,398,208 and 658,728,832 is: 1,411,601,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,398,208 : 658,728,832 = 658,728,832 : x
  2. Step 2: Convert to fraction form
    307,398,208/658,728,832 = 658,728,832/x
  3. Step 3: Cross multiply
    307,398,208x = 658,728,832 × 658,728,832
  4. Step 4: Simplify right side
    307,398,208x = 433,923,674,108,084,224
  5. Step 5: Solve for x
    x = 433,923,674,108,084,224/307,398,208
  6. Step 6: Final answer
    x = 1,411,601,183.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.