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Finding the Third Proportional to 260,505 and 393,522.75

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Solution

The third proportional to 260,505 and 393,522.75 is: 594,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,505 : 393,522.75 = 393,522.75 : x
  2. Step 2: Convert to fraction form
    260,505/393,522.75 = 393,522.75/x
  3. Step 3: Cross multiply
    260,505x = 393,522.75 × 393,522.75
  4. Step 4: Simplify right side
    260,505x = 154,860,154,767.56
  5. Step 5: Solve for x
    x = 154,860,154,767.56/260,505
  6. Step 6: Final answer
    x = 594,461.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.