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Finding the Third Proportional to 213,475.50 and 474,219

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Solution

The third proportional to 213,475.50 and 474,219 is: 1,053,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,475.50 : 474,219 = 474,219 : x
  2. Step 2: Convert to fraction form
    213,475.50/474,219 = 474,219/x
  3. Step 3: Cross multiply
    213,475.50x = 474,219 × 474,219
  4. Step 4: Simplify right side
    213,475.50x = 224,883,659,961
  5. Step 5: Solve for x
    x = 224,883,659,961/213,475.50
  6. Step 6: Final answer
    x = 1,053,440.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.