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Finding the Third Proportional to 232,201 and 474,243

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Solution

The third proportional to 232,201 and 474,243 is: 968,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,201 : 474,243 = 474,243 : x
  2. Step 2: Convert to fraction form
    232,201/474,243 = 474,243/x
  3. Step 3: Cross multiply
    232,201x = 474,243 × 474,243
  4. Step 4: Simplify right side
    232,201x = 224,906,423,049
  5. Step 5: Solve for x
    x = 224,906,423,049/232,201
  6. Step 6: Final answer
    x = 968,585.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.