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Finding the Third Proportional to 483,627 and 747,672.75

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Solution

The third proportional to 483,627 and 747,672.75 is: 1,155,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,627 : 747,672.75 = 747,672.75 : x
  2. Step 2: Convert to fraction form
    483,627/747,672.75 = 747,672.75/x
  3. Step 3: Cross multiply
    483,627x = 747,672.75 × 747,672.75
  4. Step 4: Simplify right side
    483,627x = 559,014,541,092.56
  5. Step 5: Solve for x
    x = 559,014,541,092.56/483,627
  6. Step 6: Final answer
    x = 1,155,879.51

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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.