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Finding the Third Proportional to 241,569 and 530,927

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Solution

The third proportional to 241,569 and 530,927 is: 1,166,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,569 : 530,927 = 530,927 : x
  2. Step 2: Convert to fraction form
    241,569/530,927 = 530,927/x
  3. Step 3: Cross multiply
    241,569x = 530,927 × 530,927
  4. Step 4: Simplify right side
    241,569x = 281,883,479,329
  5. Step 5: Solve for x
    x = 281,883,479,329/241,569
  6. Step 6: Final answer
    x = 1,166,885.98

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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.