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Finding the Third Proportional to 307,397,970 and 658,728,396

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Solution

The third proportional to 307,397,970 and 658,728,396 is: 1,411,600,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,397,970 : 658,728,396 = 658,728,396 : x
  2. Step 2: Convert to fraction form
    307,397,970/658,728,396 = 658,728,396/x
  3. Step 3: Cross multiply
    307,397,970x = 658,728,396 × 658,728,396
  4. Step 4: Simplify right side
    307,397,970x = 433,923,099,696,732,800
  5. Step 5: Solve for x
    x = 433,923,099,696,732,800/307,397,970
  6. Step 6: Final answer
    x = 1,411,600,407.44

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