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Finding the Third Proportional to 239,706 and 521,235

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Solution

The third proportional to 239,706 and 521,235 is: 1,133,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,706 : 521,235 = 521,235 : x
  2. Step 2: Convert to fraction form
    239,706/521,235 = 521,235/x
  3. Step 3: Cross multiply
    239,706x = 521,235 × 521,235
  4. Step 4: Simplify right side
    239,706x = 271,685,925,225
  5. Step 5: Solve for x
    x = 271,685,925,225/239,706
  6. Step 6: Final answer
    x = 1,133,413.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.