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Finding the Third Proportional to 223,634 and 447,083

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Solution

The third proportional to 223,634 and 447,083 is: 893,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,634 : 447,083 = 447,083 : x
  2. Step 2: Convert to fraction form
    223,634/447,083 = 447,083/x
  3. Step 3: Cross multiply
    223,634x = 447,083 × 447,083
  4. Step 4: Simplify right side
    223,634x = 199,883,208,889
  5. Step 5: Solve for x
    x = 199,883,208,889/223,634
  6. Step 6: Final answer
    x = 893,796.15

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.