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Finding the Third Proportional to 306,512 and 460,184

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Solution

The third proportional to 306,512 and 460,184 is: 690,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,512 : 460,184 = 460,184 : x
  2. Step 2: Convert to fraction form
    306,512/460,184 = 460,184/x
  3. Step 3: Cross multiply
    306,512x = 460,184 × 460,184
  4. Step 4: Simplify right side
    306,512x = 211,769,313,856
  5. Step 5: Solve for x
    x = 211,769,313,856/306,512
  6. Step 6: Final answer
    x = 690,900.56

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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.