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Finding the Third Proportional to 241,324 and 530,231

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Solution

The third proportional to 241,324 and 530,231 is: 1,165,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,324 : 530,231 = 530,231 : x
  2. Step 2: Convert to fraction form
    241,324/530,231 = 530,231/x
  3. Step 3: Cross multiply
    241,324x = 530,231 × 530,231
  4. Step 4: Simplify right side
    241,324x = 281,144,913,361
  5. Step 5: Solve for x
    x = 281,144,913,361/241,324
  6. Step 6: Final answer
    x = 1,165,010.17

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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.