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Finding the Third Proportional to 241,532 and 530,868

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Solution

The third proportional to 241,532 and 530,868 is: 1,166,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,532 : 530,868 = 530,868 : x
  2. Step 2: Convert to fraction form
    241,532/530,868 = 530,868/x
  3. Step 3: Cross multiply
    241,532x = 530,868 × 530,868
  4. Step 4: Simplify right side
    241,532x = 281,820,833,424
  5. Step 5: Solve for x
    x = 281,820,833,424/241,532
  6. Step 6: Final answer
    x = 1,166,805.37

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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.