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Finding the Third Proportional to 340,121 and 530,859

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Solution

The third proportional to 340,121 and 530,859 is: 828,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,121 : 530,859 = 530,859 : x
  2. Step 2: Convert to fraction form
    340,121/530,859 = 530,859/x
  3. Step 3: Cross multiply
    340,121x = 530,859 × 530,859
  4. Step 4: Simplify right side
    340,121x = 281,811,277,881
  5. Step 5: Solve for x
    x = 281,811,277,881/340,121
  6. Step 6: Final answer
    x = 828,561.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.