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Finding the Third Proportional to 254,579 and 530,074

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Solution

The third proportional to 254,579 and 530,074 is: 1,103,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,579 : 530,074 = 530,074 : x
  2. Step 2: Convert to fraction form
    254,579/530,074 = 530,074/x
  3. Step 3: Cross multiply
    254,579x = 530,074 × 530,074
  4. Step 4: Simplify right side
    254,579x = 280,978,445,476
  5. Step 5: Solve for x
    x = 280,978,445,476/254,579
  6. Step 6: Final answer
    x = 1,103,698.44

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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.