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Finding the Third Proportional to 241,030 and 524,956

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Solution

The third proportional to 241,030 and 524,956 is: 1,143,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,030 : 524,956 = 524,956 : x
  2. Step 2: Convert to fraction form
    241,030/524,956 = 524,956/x
  3. Step 3: Cross multiply
    241,030x = 524,956 × 524,956
  4. Step 4: Simplify right side
    241,030x = 275,578,801,936
  5. Step 5: Solve for x
    x = 275,578,801,936/241,030
  6. Step 6: Final answer
    x = 1,143,338.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.