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Finding the Third Proportional to 254,620 and 530,158

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Solution

The third proportional to 254,620 and 530,158 is: 1,103,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,620 : 530,158 = 530,158 : x
  2. Step 2: Convert to fraction form
    254,620/530,158 = 530,158/x
  3. Step 3: Cross multiply
    254,620x = 530,158 × 530,158
  4. Step 4: Simplify right side
    254,620x = 281,067,504,964
  5. Step 5: Solve for x
    x = 281,067,504,964/254,620
  6. Step 6: Final answer
    x = 1,103,870.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.