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Finding the Third Proportional to 197,285.63 and 477,016.59

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Solution

The third proportional to 197,285.63 and 477,016.59 is: 1,153,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,285.63 : 477,016.59 = 477,016.59 : x
  2. Step 2: Convert to fraction form
    197,285.63/477,016.59 = 477,016.59/x
  3. Step 3: Cross multiply
    197,285.63x = 477,016.59 × 477,016.59
  4. Step 4: Simplify right side
    197,285.63x = 227,544,830,712.85
  5. Step 5: Solve for x
    x = 227,544,830,712.85/197,285.63
  6. Step 6: Final answer
    x = 1,153,377.65

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.