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Finding the Third Proportional to 366,872 and 489,207.50

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Solution

The third proportional to 366,872 and 489,207.50 is: 652,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,872 : 489,207.50 = 489,207.50 : x
  2. Step 2: Convert to fraction form
    366,872/489,207.50 = 489,207.50/x
  3. Step 3: Cross multiply
    366,872x = 489,207.50 × 489,207.50
  4. Step 4: Simplify right side
    366,872x = 239,323,978,056.25
  5. Step 5: Solve for x
    x = 239,323,978,056.25/366,872
  6. Step 6: Final answer
    x = 652,336.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.