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Finding the Third Proportional to 241,143 and 523,796

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Solution

The third proportional to 241,143 and 523,796 is: 1,137,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,143 : 523,796 = 523,796 : x
  2. Step 2: Convert to fraction form
    241,143/523,796 = 523,796/x
  3. Step 3: Cross multiply
    241,143x = 523,796 × 523,796
  4. Step 4: Simplify right side
    241,143x = 274,362,249,616
  5. Step 5: Solve for x
    x = 274,362,249,616/241,143
  6. Step 6: Final answer
    x = 1,137,757.47

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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.