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Finding the Third Proportional to 451,491.75 and 744,360.75

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Solution

The third proportional to 451,491.75 and 744,360.75 is: 1,227,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,491.75 : 744,360.75 = 744,360.75 : x
  2. Step 2: Convert to fraction form
    451,491.75/744,360.75 = 744,360.75/x
  3. Step 3: Cross multiply
    451,491.75x = 744,360.75 × 744,360.75
  4. Step 4: Simplify right side
    451,491.75x = 554,072,926,140.56
  5. Step 5: Solve for x
    x = 554,072,926,140.56/451,491.75
  6. Step 6: Final answer
    x = 1,227,204.98

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.