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Finding the Third Proportional to 241,884 and 529,796

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Solution

The third proportional to 241,884 and 529,796 is: 1,160,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,884 : 529,796 = 529,796 : x
  2. Step 2: Convert to fraction form
    241,884/529,796 = 529,796/x
  3. Step 3: Cross multiply
    241,884x = 529,796 × 529,796
  4. Step 4: Simplify right side
    241,884x = 280,683,801,616
  5. Step 5: Solve for x
    x = 280,683,801,616/241,884
  6. Step 6: Final answer
    x = 1,160,406.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.