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Finding the Third Proportional to 366,277.50 and 785,119.50

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Solution

The third proportional to 366,277.50 and 785,119.50 is: 1,682,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,277.50 : 785,119.50 = 785,119.50 : x
  2. Step 2: Convert to fraction form
    366,277.50/785,119.50 = 785,119.50/x
  3. Step 3: Cross multiply
    366,277.50x = 785,119.50 × 785,119.50
  4. Step 4: Simplify right side
    366,277.50x = 616,412,629,280.25
  5. Step 5: Solve for x
    x = 616,412,629,280.25/366,277.50
  6. Step 6: Final answer
    x = 1,682,911.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.