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Finding the Third Proportional to 210,661 and 450,846

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Solution

The third proportional to 210,661 and 450,846 is: 964,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,661 : 450,846 = 450,846 : x
  2. Step 2: Convert to fraction form
    210,661/450,846 = 450,846/x
  3. Step 3: Cross multiply
    210,661x = 450,846 × 450,846
  4. Step 4: Simplify right side
    210,661x = 203,262,115,716
  5. Step 5: Solve for x
    x = 203,262,115,716/210,661
  6. Step 6: Final answer
    x = 964,877.77

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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.