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Finding the Third Proportional to 241,443 and 514,071

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Solution

The third proportional to 241,443 and 514,071 is: 1,094,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,443 : 514,071 = 514,071 : x
  2. Step 2: Convert to fraction form
    241,443/514,071 = 514,071/x
  3. Step 3: Cross multiply
    241,443x = 514,071 × 514,071
  4. Step 4: Simplify right side
    241,443x = 264,268,993,041
  5. Step 5: Solve for x
    x = 264,268,993,041/241,443
  6. Step 6: Final answer
    x = 1,094,539.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.