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Finding the Third Proportional to 210,114 and 449,748

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Solution

The third proportional to 210,114 and 449,748 is: 962,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,114 : 449,748 = 449,748 : x
  2. Step 2: Convert to fraction form
    210,114/449,748 = 449,748/x
  3. Step 3: Cross multiply
    210,114x = 449,748 × 449,748
  4. Step 4: Simplify right side
    210,114x = 202,273,263,504
  5. Step 5: Solve for x
    x = 202,273,263,504/210,114
  6. Step 6: Final answer
    x = 962,683.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.