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Finding the Third Proportional to 307,397,960 and 658,728,376

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Solution

The third proportional to 307,397,960 and 658,728,376 is: 1,411,600,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,397,960 : 658,728,376 = 658,728,376 : x
  2. Step 2: Convert to fraction form
    307,397,960/658,728,376 = 658,728,376/x
  3. Step 3: Cross multiply
    307,397,960x = 658,728,376 × 658,728,376
  4. Step 4: Simplify right side
    307,397,960x = 433,923,073,347,597,376
  5. Step 5: Solve for x
    x = 433,923,073,347,597,376/307,397,960
  6. Step 6: Final answer
    x = 1,411,600,367.64

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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.