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Finding the Third Proportional to 306,084.50 and 649,222

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Solution

The third proportional to 306,084.50 and 649,222 is: 1,377,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,084.50 : 649,222 = 649,222 : x
  2. Step 2: Convert to fraction form
    306,084.50/649,222 = 649,222/x
  3. Step 3: Cross multiply
    306,084.50x = 649,222 × 649,222
  4. Step 4: Simplify right side
    306,084.50x = 421,489,205,284
  5. Step 5: Solve for x
    x = 421,489,205,284/306,084.50
  6. Step 6: Final answer
    x = 1,377,035.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.