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Finding the Third Proportional to 241,514 and 529,684

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Solution

The third proportional to 241,514 and 529,684 is: 1,161,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,514 : 529,684 = 529,684 : x
  2. Step 2: Convert to fraction form
    241,514/529,684 = 529,684/x
  3. Step 3: Cross multiply
    241,514x = 529,684 × 529,684
  4. Step 4: Simplify right side
    241,514x = 280,565,139,856
  5. Step 5: Solve for x
    x = 280,565,139,856/241,514
  6. Step 6: Final answer
    x = 1,161,693.07

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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.