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Finding the Third Proportional to 210,031 and 460,885

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Solution

The third proportional to 210,031 and 460,885 is: 1,011,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,031 : 460,885 = 460,885 : x
  2. Step 2: Convert to fraction form
    210,031/460,885 = 460,885/x
  3. Step 3: Cross multiply
    210,031x = 460,885 × 460,885
  4. Step 4: Simplify right side
    210,031x = 212,414,983,225
  5. Step 5: Solve for x
    x = 212,414,983,225/210,031
  6. Step 6: Final answer
    x = 1,011,350.63

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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.