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Finding the Third Proportional to 378,977.48 and 821,040.05

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Solution

The third proportional to 378,977.48 and 821,040.05 is: 1,778,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,977.48 : 821,040.05 = 821,040.05 : x
  2. Step 2: Convert to fraction form
    378,977.48/821,040.05 = 821,040.05/x
  3. Step 3: Cross multiply
    378,977.48x = 821,040.05 × 821,040.05
  4. Step 4: Simplify right side
    378,977.48x = 674,106,758,572.50
  5. Step 5: Solve for x
    x = 674,106,758,572.50/378,977.48
  6. Step 6: Final answer
    x = 1,778,751.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.