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Finding the Third Proportional to 210,087 and 449,706

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Solution

The third proportional to 210,087 and 449,706 is: 962,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,087 : 449,706 = 449,706 : x
  2. Step 2: Convert to fraction form
    210,087/449,706 = 449,706/x
  3. Step 3: Cross multiply
    210,087x = 449,706 × 449,706
  4. Step 4: Simplify right side
    210,087x = 202,235,486,436
  5. Step 5: Solve for x
    x = 202,235,486,436/210,087
  6. Step 6: Final answer
    x = 962,627.32

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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.