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Finding the Third Proportional to 223,828 and 457,998

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Solution

The third proportional to 223,828 and 457,998 is: 937,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,828 : 457,998 = 457,998 : x
  2. Step 2: Convert to fraction form
    223,828/457,998 = 457,998/x
  3. Step 3: Cross multiply
    223,828x = 457,998 × 457,998
  4. Step 4: Simplify right side
    223,828x = 209,762,168,004
  5. Step 5: Solve for x
    x = 209,762,168,004/223,828
  6. Step 6: Final answer
    x = 937,157.85

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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.