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Finding the Third Proportional to 211,300 and 464,072

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Solution

The third proportional to 211,300 and 464,072 is: 1,019,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,300 : 464,072 = 464,072 : x
  2. Step 2: Convert to fraction form
    211,300/464,072 = 464,072/x
  3. Step 3: Cross multiply
    211,300x = 464,072 × 464,072
  4. Step 4: Simplify right side
    211,300x = 215,362,821,184
  5. Step 5: Solve for x
    x = 215,362,821,184/211,300
  6. Step 6: Final answer
    x = 1,019,227.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.