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Finding the Third Proportional to 213,198.33 and 473,690.53

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Solution

The third proportional to 213,198.33 and 473,690.53 is: 1,052,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,198.33 : 473,690.53 = 473,690.53 : x
  2. Step 2: Convert to fraction form
    213,198.33/473,690.53 = 473,690.53/x
  3. Step 3: Cross multiply
    213,198.33x = 473,690.53 × 473,690.53
  4. Step 4: Simplify right side
    213,198.33x = 224,382,719,395.91
  5. Step 5: Solve for x
    x = 224,382,719,395.91/213,198.33
  6. Step 6: Final answer
    x = 1,052,460.03

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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.