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Finding the Third Proportional to 350,590,272 and 545,022,864

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Solution

The third proportional to 350,590,272 and 545,022,864 is: 847,285,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,590,272 : 545,022,864 = 545,022,864 : x
  2. Step 2: Convert to fraction form
    350,590,272/545,022,864 = 545,022,864/x
  3. Step 3: Cross multiply
    350,590,272x = 545,022,864 × 545,022,864
  4. Step 4: Simplify right side
    350,590,272x = 297,049,922,282,762,496
  5. Step 5: Solve for x
    x = 297,049,922,282,762,496/350,590,272
  6. Step 6: Final answer
    x = 847,285,124.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.