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Finding the Third Proportional to 298,253 and 451,723.50

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Solution

The third proportional to 298,253 and 451,723.50 is: 684,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,253 : 451,723.50 = 451,723.50 : x
  2. Step 2: Convert to fraction form
    298,253/451,723.50 = 451,723.50/x
  3. Step 3: Cross multiply
    298,253x = 451,723.50 × 451,723.50
  4. Step 4: Simplify right side
    298,253x = 204,054,120,452.25
  5. Step 5: Solve for x
    x = 204,054,120,452.25/298,253
  6. Step 6: Final answer
    x = 684,164.52

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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.