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Finding the Third Proportional to 288,560.50 and 431,225.50

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Solution

The third proportional to 288,560.50 and 431,225.50 is: 644,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,560.50 : 431,225.50 = 431,225.50 : x
  2. Step 2: Convert to fraction form
    288,560.50/431,225.50 = 431,225.50/x
  3. Step 3: Cross multiply
    288,560.50x = 431,225.50 × 431,225.50
  4. Step 4: Simplify right side
    288,560.50x = 185,955,431,850.25
  5. Step 5: Solve for x
    x = 185,955,431,850.25/288,560.50
  6. Step 6: Final answer
    x = 644,424.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.