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Finding the Third Proportional to 306,224 and 447,240

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Solution

The third proportional to 306,224 and 447,240 is: 653,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,224 : 447,240 = 447,240 : x
  2. Step 2: Convert to fraction form
    306,224/447,240 = 447,240/x
  3. Step 3: Cross multiply
    306,224x = 447,240 × 447,240
  4. Step 4: Simplify right side
    306,224x = 200,023,617,600
  5. Step 5: Solve for x
    x = 200,023,617,600/306,224
  6. Step 6: Final answer
    x = 653,193.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.