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Finding the Third Proportional to 210,962 and 454,908.50

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Solution

The third proportional to 210,962 and 454,908.50 is: 980,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,962 : 454,908.50 = 454,908.50 : x
  2. Step 2: Convert to fraction form
    210,962/454,908.50 = 454,908.50/x
  3. Step 3: Cross multiply
    210,962x = 454,908.50 × 454,908.50
  4. Step 4: Simplify right side
    210,962x = 206,941,743,372.25
  5. Step 5: Solve for x
    x = 206,941,743,372.25/210,962
  6. Step 6: Final answer
    x = 980,943.22

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