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Finding the Third Proportional to 213,081.75 and 473,460.75

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Solution

The third proportional to 213,081.75 and 473,460.75 is: 1,052,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,081.75 : 473,460.75 = 473,460.75 : x
  2. Step 2: Convert to fraction form
    213,081.75/473,460.75 = 473,460.75/x
  3. Step 3: Cross multiply
    213,081.75x = 473,460.75 × 473,460.75
  4. Step 4: Simplify right side
    213,081.75x = 224,165,081,790.56
  5. Step 5: Solve for x
    x = 224,165,081,790.56/213,081.75
  6. Step 6: Final answer
    x = 1,052,014.46

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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.