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Finding the Third Proportional to 397,149 and 596,611.50

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Solution

The third proportional to 397,149 and 596,611.50 is: 896,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,149 : 596,611.50 = 596,611.50 : x
  2. Step 2: Convert to fraction form
    397,149/596,611.50 = 596,611.50/x
  3. Step 3: Cross multiply
    397,149x = 596,611.50 × 596,611.50
  4. Step 4: Simplify right side
    397,149x = 355,945,281,932.25
  5. Step 5: Solve for x
    x = 355,945,281,932.25/397,149
  6. Step 6: Final answer
    x = 896,251.24

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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.