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Finding the Third Proportional to 241,504 and 530,582

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Solution

The third proportional to 241,504 and 530,582 is: 1,165,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,504 : 530,582 = 530,582 : x
  2. Step 2: Convert to fraction form
    241,504/530,582 = 530,582/x
  3. Step 3: Cross multiply
    241,504x = 530,582 × 530,582
  4. Step 4: Simplify right side
    241,504x = 281,517,258,724
  5. Step 5: Solve for x
    x = 281,517,258,724/241,504
  6. Step 6: Final answer
    x = 1,165,683.63

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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.