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Finding the Third Proportional to 223,812 and 457,964

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Solution

The third proportional to 223,812 and 457,964 is: 937,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,812 : 457,964 = 457,964 : x
  2. Step 2: Convert to fraction form
    223,812/457,964 = 457,964/x
  3. Step 3: Cross multiply
    223,812x = 457,964 × 457,964
  4. Step 4: Simplify right side
    223,812x = 209,731,025,296
  5. Step 5: Solve for x
    x = 209,731,025,296/223,812
  6. Step 6: Final answer
    x = 937,085.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.