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Finding the Third Proportional to 330,193,380 and 719,715,576

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Solution

The third proportional to 330,193,380 and 719,715,576 is: 1,568,748,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,193,380 : 719,715,576 = 719,715,576 : x
  2. Step 2: Convert to fraction form
    330,193,380/719,715,576 = 719,715,576/x
  3. Step 3: Cross multiply
    330,193,380x = 719,715,576 × 719,715,576
  4. Step 4: Simplify right side
    330,193,380x = 517,990,510,337,011,776
  5. Step 5: Solve for x
    x = 517,990,510,337,011,776/330,193,380
  6. Step 6: Final answer
    x = 1,568,748,926.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.