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Finding the Third Proportional to 241,714 and 531,758

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Solution

The third proportional to 241,714 and 531,758 is: 1,169,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,714 : 531,758 = 531,758 : x
  2. Step 2: Convert to fraction form
    241,714/531,758 = 531,758/x
  3. Step 3: Cross multiply
    241,714x = 531,758 × 531,758
  4. Step 4: Simplify right side
    241,714x = 282,766,570,564
  5. Step 5: Solve for x
    x = 282,766,570,564/241,714
  6. Step 6: Final answer
    x = 1,169,839.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.