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Finding the Third Proportional to 264,451 and 397,254.50

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Solution

The third proportional to 264,451 and 397,254.50 is: 596,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,451 : 397,254.50 = 397,254.50 : x
  2. Step 2: Convert to fraction form
    264,451/397,254.50 = 397,254.50/x
  3. Step 3: Cross multiply
    264,451x = 397,254.50 × 397,254.50
  4. Step 4: Simplify right side
    264,451x = 157,811,137,770.25
  5. Step 5: Solve for x
    x = 157,811,137,770.25/264,451
  6. Step 6: Final answer
    x = 596,750.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.