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Finding the Third Proportional to 197,288 and 477,021

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Solution

The third proportional to 197,288 and 477,021 is: 1,153,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,288 : 477,021 = 477,021 : x
  2. Step 2: Convert to fraction form
    197,288/477,021 = 477,021/x
  3. Step 3: Cross multiply
    197,288x = 477,021 × 477,021
  4. Step 4: Simplify right side
    197,288x = 227,549,034,441
  5. Step 5: Solve for x
    x = 227,549,034,441/197,288
  6. Step 6: Final answer
    x = 1,153,385.07

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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.