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Finding the Third Proportional to 241,159 and 523,823

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Solution

The third proportional to 241,159 and 523,823 is: 1,137,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,159 : 523,823 = 523,823 : x
  2. Step 2: Convert to fraction form
    241,159/523,823 = 523,823/x
  3. Step 3: Cross multiply
    241,159x = 523,823 × 523,823
  4. Step 4: Simplify right side
    241,159x = 274,390,535,329
  5. Step 5: Solve for x
    x = 274,390,535,329/241,159
  6. Step 6: Final answer
    x = 1,137,799.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.