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Finding the Third Proportional to 201,380 and 470,324

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Solution

The third proportional to 201,380 and 470,324 is: 1,098,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,380 : 470,324 = 470,324 : x
  2. Step 2: Convert to fraction form
    201,380/470,324 = 470,324/x
  3. Step 3: Cross multiply
    201,380x = 470,324 × 470,324
  4. Step 4: Simplify right side
    201,380x = 221,204,664,976
  5. Step 5: Solve for x
    x = 221,204,664,976/201,380
  6. Step 6: Final answer
    x = 1,098,444.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.