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Finding the Third Proportional to 217,914 and 474,426

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Solution

The third proportional to 217,914 and 474,426 is: 1,032,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,914 : 474,426 = 474,426 : x
  2. Step 2: Convert to fraction form
    217,914/474,426 = 474,426/x
  3. Step 3: Cross multiply
    217,914x = 474,426 × 474,426
  4. Step 4: Simplify right side
    217,914x = 225,080,029,476
  5. Step 5: Solve for x
    x = 225,080,029,476/217,914
  6. Step 6: Final answer
    x = 1,032,884.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.