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Finding the Third Proportional to 241,558 and 524,736

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Solution

The third proportional to 241,558 and 524,736 is: 1,139,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,558 : 524,736 = 524,736 : x
  2. Step 2: Convert to fraction form
    241,558/524,736 = 524,736/x
  3. Step 3: Cross multiply
    241,558x = 524,736 × 524,736
  4. Step 4: Simplify right side
    241,558x = 275,347,869,696
  5. Step 5: Solve for x
    x = 275,347,869,696/241,558
  6. Step 6: Final answer
    x = 1,139,883.05

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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.