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Finding the Third Proportional to 217,984.50 and 470,367

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Solution

The third proportional to 217,984.50 and 470,367 is: 1,014,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,984.50 : 470,367 = 470,367 : x
  2. Step 2: Convert to fraction form
    217,984.50/470,367 = 470,367/x
  3. Step 3: Cross multiply
    217,984.50x = 470,367 × 470,367
  4. Step 4: Simplify right side
    217,984.50x = 221,245,114,689
  5. Step 5: Solve for x
    x = 221,245,114,689/217,984.50
  6. Step 6: Final answer
    x = 1,014,958.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.