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Finding the Third Proportional to 210,066 and 460,950

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Solution

The third proportional to 210,066 and 460,950 is: 1,011,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,066 : 460,950 = 460,950 : x
  2. Step 2: Convert to fraction form
    210,066/460,950 = 460,950/x
  3. Step 3: Cross multiply
    210,066x = 460,950 × 460,950
  4. Step 4: Simplify right side
    210,066x = 212,474,902,500
  5. Step 5: Solve for x
    x = 212,474,902,500/210,066
  6. Step 6: Final answer
    x = 1,011,467.36

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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.