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Finding the Third Proportional to 217,029.50 and 476,079

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Solution

The third proportional to 217,029.50 and 476,079 is: 1,044,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,029.50 : 476,079 = 476,079 : x
  2. Step 2: Convert to fraction form
    217,029.50/476,079 = 476,079/x
  3. Step 3: Cross multiply
    217,029.50x = 476,079 × 476,079
  4. Step 4: Simplify right side
    217,029.50x = 226,651,214,241
  5. Step 5: Solve for x
    x = 226,651,214,241/217,029.50
  6. Step 6: Final answer
    x = 1,044,333.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.