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Finding the Third Proportional to 217,345 and 332,476

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Solution

The third proportional to 217,345 and 332,476 is: 508,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,345 : 332,476 = 332,476 : x
  2. Step 2: Convert to fraction form
    217,345/332,476 = 332,476/x
  3. Step 3: Cross multiply
    217,345x = 332,476 × 332,476
  4. Step 4: Simplify right side
    217,345x = 110,540,290,576
  5. Step 5: Solve for x
    x = 110,540,290,576/217,345
  6. Step 6: Final answer
    x = 508,593.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.