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Finding the Third Proportional to 241,323 and 530,229

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Solution

The third proportional to 241,323 and 530,229 is: 1,165,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,323 : 530,229 = 530,229 : x
  2. Step 2: Convert to fraction form
    241,323/530,229 = 530,229/x
  3. Step 3: Cross multiply
    241,323x = 530,229 × 530,229
  4. Step 4: Simplify right side
    241,323x = 281,142,792,441
  5. Step 5: Solve for x
    x = 281,142,792,441/241,323
  6. Step 6: Final answer
    x = 1,165,006.21

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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.