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Finding the Third Proportional to 216,272.50 and 474,647

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Solution

The third proportional to 216,272.50 and 474,647 is: 1,041,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,272.50 : 474,647 = 474,647 : x
  2. Step 2: Convert to fraction form
    216,272.50/474,647 = 474,647/x
  3. Step 3: Cross multiply
    216,272.50x = 474,647 × 474,647
  4. Step 4: Simplify right side
    216,272.50x = 225,289,774,609
  5. Step 5: Solve for x
    x = 225,289,774,609/216,272.50
  6. Step 6: Final answer
    x = 1,041,694.04

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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.