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Finding the Third Proportional to 306,211 and 649,484

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Solution

The third proportional to 306,211 and 649,484 is: 1,377,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,211 : 649,484 = 649,484 : x
  2. Step 2: Convert to fraction form
    306,211/649,484 = 649,484/x
  3. Step 3: Cross multiply
    306,211x = 649,484 × 649,484
  4. Step 4: Simplify right side
    306,211x = 421,829,466,256
  5. Step 5: Solve for x
    x = 421,829,466,256/306,211
  6. Step 6: Final answer
    x = 1,377,577.77

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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.