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Finding the Third Proportional to 214,288 and 466,673

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Solution

The third proportional to 214,288 and 466,673 is: 1,016,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,288 : 466,673 = 466,673 : x
  2. Step 2: Convert to fraction form
    214,288/466,673 = 466,673/x
  3. Step 3: Cross multiply
    214,288x = 466,673 × 466,673
  4. Step 4: Simplify right side
    214,288x = 217,783,688,929
  5. Step 5: Solve for x
    x = 217,783,688,929/214,288
  6. Step 6: Final answer
    x = 1,016,313.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.