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Finding the Third Proportional to 259,016 and 530,871

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Solution

The third proportional to 259,016 and 530,871 is: 1,088,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,016 : 530,871 = 530,871 : x
  2. Step 2: Convert to fraction form
    259,016/530,871 = 530,871/x
  3. Step 3: Cross multiply
    259,016x = 530,871 × 530,871
  4. Step 4: Simplify right side
    259,016x = 281,824,018,641
  5. Step 5: Solve for x
    x = 281,824,018,641/259,016
  6. Step 6: Final answer
    x = 1,088,056.41

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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.