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Finding the Third Proportional to 241,083 and 523,638

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Solution

The third proportional to 241,083 and 523,638 is: 1,137,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,083 : 523,638 = 523,638 : x
  2. Step 2: Convert to fraction form
    241,083/523,638 = 523,638/x
  3. Step 3: Cross multiply
    241,083x = 523,638 × 523,638
  4. Step 4: Simplify right side
    241,083x = 274,196,755,044
  5. Step 5: Solve for x
    x = 274,196,755,044/241,083
  6. Step 6: Final answer
    x = 1,137,354.17

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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.