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Finding the Third Proportional to 344,757,096 and 744,210,576

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Solution

The third proportional to 344,757,096 and 744,210,576 is: 1,606,491,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,757,096 : 744,210,576 = 744,210,576 : x
  2. Step 2: Convert to fraction form
    344,757,096/744,210,576 = 744,210,576/x
  3. Step 3: Cross multiply
    344,757,096x = 744,210,576 × 744,210,576
  4. Step 4: Simplify right side
    344,757,096x = 553,849,381,430,251,776
  5. Step 5: Solve for x
    x = 553,849,381,430,251,776/344,757,096
  6. Step 6: Final answer
    x = 1,606,491,607.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.