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Finding the Third Proportional to 230,518 and 472,457

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Solution

The third proportional to 230,518 and 472,457 is: 968,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,518 : 472,457 = 472,457 : x
  2. Step 2: Convert to fraction form
    230,518/472,457 = 472,457/x
  3. Step 3: Cross multiply
    230,518x = 472,457 × 472,457
  4. Step 4: Simplify right side
    230,518x = 223,215,616,849
  5. Step 5: Solve for x
    x = 223,215,616,849/230,518
  6. Step 6: Final answer
    x = 968,321.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.