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Finding the Third Proportional to 210,162 and 466,974

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Solution

The third proportional to 210,162 and 466,974 is: 1,037,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,162 : 466,974 = 466,974 : x
  2. Step 2: Convert to fraction form
    210,162/466,974 = 466,974/x
  3. Step 3: Cross multiply
    210,162x = 466,974 × 466,974
  4. Step 4: Simplify right side
    210,162x = 218,064,716,676
  5. Step 5: Solve for x
    x = 218,064,716,676/210,162
  6. Step 6: Final answer
    x = 1,037,602.98

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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.