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Finding the Third Proportional to 484,321.50 and 755,916.75

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Solution

The third proportional to 484,321.50 and 755,916.75 is: 1,179,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,321.50 : 755,916.75 = 755,916.75 : x
  2. Step 2: Convert to fraction form
    484,321.50/755,916.75 = 755,916.75/x
  3. Step 3: Cross multiply
    484,321.50x = 755,916.75 × 755,916.75
  4. Step 4: Simplify right side
    484,321.50x = 571,410,132,930.56
  5. Step 5: Solve for x
    x = 571,410,132,930.56/484,321.50
  6. Step 6: Final answer
    x = 1,179,815.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.