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Finding the Third Proportional to 366,872.50 and 489,209

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Solution

The third proportional to 366,872.50 and 489,209 is: 652,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,872.50 : 489,209 = 489,209 : x
  2. Step 2: Convert to fraction form
    366,872.50/489,209 = 489,209/x
  3. Step 3: Cross multiply
    366,872.50x = 489,209 × 489,209
  4. Step 4: Simplify right side
    366,872.50x = 239,325,445,681
  5. Step 5: Solve for x
    x = 239,325,445,681/366,872.50
  6. Step 6: Final answer
    x = 652,339.56

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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.