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Finding the Third Proportional to 307,397,968 and 658,728,392

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Solution

The third proportional to 307,397,968 and 658,728,392 is: 1,411,600,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,397,968 : 658,728,392 = 658,728,392 : x
  2. Step 2: Convert to fraction form
    307,397,968/658,728,392 = 658,728,392/x
  3. Step 3: Cross multiply
    307,397,968x = 658,728,392 × 658,728,392
  4. Step 4: Simplify right side
    307,397,968x = 433,923,094,426,905,664
  5. Step 5: Solve for x
    x = 433,923,094,426,905,664/307,397,968
  6. Step 6: Final answer
    x = 1,411,600,399.48

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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.