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Finding the Third Proportional to 259,013 and 530,865

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Solution

The third proportional to 259,013 and 530,865 is: 1,088,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,013 : 530,865 = 530,865 : x
  2. Step 2: Convert to fraction form
    259,013/530,865 = 530,865/x
  3. Step 3: Cross multiply
    259,013x = 530,865 × 530,865
  4. Step 4: Simplify right side
    259,013x = 281,817,648,225
  5. Step 5: Solve for x
    x = 281,817,648,225/259,013
  6. Step 6: Final answer
    x = 1,088,044.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.