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Finding the Third Proportional to 241,511 and 529,678

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Solution

The third proportional to 241,511 and 529,678 is: 1,161,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,511 : 529,678 = 529,678 : x
  2. Step 2: Convert to fraction form
    241,511/529,678 = 529,678/x
  3. Step 3: Cross multiply
    241,511x = 529,678 × 529,678
  4. Step 4: Simplify right side
    241,511x = 280,558,783,684
  5. Step 5: Solve for x
    x = 280,558,783,684/241,511
  6. Step 6: Final answer
    x = 1,161,681.18

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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.