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Finding the Third Proportional to 210,126 and 466,908

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Solution

The third proportional to 210,126 and 466,908 is: 1,037,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,126 : 466,908 = 466,908 : x
  2. Step 2: Convert to fraction form
    210,126/466,908 = 466,908/x
  3. Step 3: Cross multiply
    210,126x = 466,908 × 466,908
  4. Step 4: Simplify right side
    210,126x = 218,003,080,464
  5. Step 5: Solve for x
    x = 218,003,080,464/210,126
  6. Step 6: Final answer
    x = 1,037,487.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.