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Finding the Third Proportional to 306,057 and 430,233.75

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Solution

The third proportional to 306,057 and 430,233.75 is: 604,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057 : 430,233.75 = 430,233.75 : x
  2. Step 2: Convert to fraction form
    306,057/430,233.75 = 430,233.75/x
  3. Step 3: Cross multiply
    306,057x = 430,233.75 × 430,233.75
  4. Step 4: Simplify right side
    306,057x = 185,101,079,639.06
  5. Step 5: Solve for x
    x = 185,101,079,639.06/306,057
  6. Step 6: Final answer
    x = 604,792.83

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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.