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Finding the Third Proportional to 230,520 and 472,460

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Solution

The third proportional to 230,520 and 472,460 is: 968,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,520 : 472,460 = 472,460 : x
  2. Step 2: Convert to fraction form
    230,520/472,460 = 472,460/x
  3. Step 3: Cross multiply
    230,520x = 472,460 × 472,460
  4. Step 4: Simplify right side
    230,520x = 223,218,451,600
  5. Step 5: Solve for x
    x = 223,218,451,600/230,520
  6. Step 6: Final answer
    x = 968,325.75

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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.