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Finding the Third Proportional to 223,815 and 457,968

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Solution

The third proportional to 223,815 and 457,968 is: 937,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,815 : 457,968 = 457,968 : x
  2. Step 2: Convert to fraction form
    223,815/457,968 = 457,968/x
  3. Step 3: Cross multiply
    223,815x = 457,968 × 457,968
  4. Step 4: Simplify right side
    223,815x = 209,734,689,024
  5. Step 5: Solve for x
    x = 209,734,689,024/223,815
  6. Step 6: Final answer
    x = 937,089.51

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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.