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Finding the Third Proportional to 217,486.42 and 477,525.38

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Solution

The third proportional to 217,486.42 and 477,525.38 is: 1,048,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,486.42 : 477,525.38 = 477,525.38 : x
  2. Step 2: Convert to fraction form
    217,486.42/477,525.38 = 477,525.38/x
  3. Step 3: Cross multiply
    217,486.42x = 477,525.38 × 477,525.38
  4. Step 4: Simplify right side
    217,486.42x = 228,030,483,768.89
  5. Step 5: Solve for x
    x = 228,030,483,768.89/217,486.42
  6. Step 6: Final answer
    x = 1,048,481.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.