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Finding the Third Proportional to 254,720.95 and 530,115.89

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Solution

The third proportional to 254,720.95 and 530,115.89 is: 1,103,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,720.95 : 530,115.89 = 530,115.89 : x
  2. Step 2: Convert to fraction form
    254,720.95/530,115.89 = 530,115.89/x
  3. Step 3: Cross multiply
    254,720.95x = 530,115.89 × 530,115.89
  4. Step 4: Simplify right side
    254,720.95x = 281,022,857,493.14
  5. Step 5: Solve for x
    x = 281,022,857,493.14/254,720.95
  6. Step 6: Final answer
    x = 1,103,257.72

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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.