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Finding the Third Proportional to 306,073 and 662,012

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Solution

The third proportional to 306,073 and 662,012 is: 1,431,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,073 : 662,012 = 662,012 : x
  2. Step 2: Convert to fraction form
    306,073/662,012 = 662,012/x
  3. Step 3: Cross multiply
    306,073x = 662,012 × 662,012
  4. Step 4: Simplify right side
    306,073x = 438,259,888,144
  5. Step 5: Solve for x
    x = 438,259,888,144/306,073
  6. Step 6: Final answer
    x = 1,431,880.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.