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Finding the Third Proportional to 210,568 and 460,503

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Solution

The third proportional to 210,568 and 460,503 is: 1,007,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,568 : 460,503 = 460,503 : x
  2. Step 2: Convert to fraction form
    210,568/460,503 = 460,503/x
  3. Step 3: Cross multiply
    210,568x = 460,503 × 460,503
  4. Step 4: Simplify right side
    210,568x = 212,063,013,009
  5. Step 5: Solve for x
    x = 212,063,013,009/210,568
  6. Step 6: Final answer
    x = 1,007,099.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.