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Finding the Third Proportional to 210,022 and 460,868

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Solution

The third proportional to 210,022 and 460,868 is: 1,011,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,022 : 460,868 = 460,868 : x
  2. Step 2: Convert to fraction form
    210,022/460,868 = 460,868/x
  3. Step 3: Cross multiply
    210,022x = 460,868 × 460,868
  4. Step 4: Simplify right side
    210,022x = 212,399,313,424
  5. Step 5: Solve for x
    x = 212,399,313,424/210,022
  6. Step 6: Final answer
    x = 1,011,319.35

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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.