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Finding the Third Proportional to 388,414,307 and 592,315,976

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Solution

The third proportional to 388,414,307 and 592,315,976 is: 903,257,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,414,307 : 592,315,976 = 592,315,976 : x
  2. Step 2: Convert to fraction form
    388,414,307/592,315,976 = 592,315,976/x
  3. Step 3: Cross multiply
    388,414,307x = 592,315,976 × 592,315,976
  4. Step 4: Simplify right side
    388,414,307x = 350,838,215,424,832,576
  5. Step 5: Solve for x
    x = 350,838,215,424,832,576/388,414,307
  6. Step 6: Final answer
    x = 903,257,704.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.