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Finding the Third Proportional to 227,235 and 489,354

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Solution

The third proportional to 227,235 and 489,354 is: 1,053,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,235 : 489,354 = 489,354 : x
  2. Step 2: Convert to fraction form
    227,235/489,354 = 489,354/x
  3. Step 3: Cross multiply
    227,235x = 489,354 × 489,354
  4. Step 4: Simplify right side
    227,235x = 239,467,337,316
  5. Step 5: Solve for x
    x = 239,467,337,316/227,235
  6. Step 6: Final answer
    x = 1,053,831.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.