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Finding the Third Proportional to 306,072 and 430,251.75

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Solution

The third proportional to 306,072 and 430,251.75 is: 604,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,072 : 430,251.75 = 430,251.75 : x
  2. Step 2: Convert to fraction form
    306,072/430,251.75 = 430,251.75/x
  3. Step 3: Cross multiply
    306,072x = 430,251.75 × 430,251.75
  4. Step 4: Simplify right side
    306,072x = 185,116,568,378.06
  5. Step 5: Solve for x
    x = 185,116,568,378.06/306,072
  6. Step 6: Final answer
    x = 604,813.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.