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Finding the Third Proportional to 223,464 and 458,772

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Solution

The third proportional to 223,464 and 458,772 is: 941,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,464 : 458,772 = 458,772 : x
  2. Step 2: Convert to fraction form
    223,464/458,772 = 458,772/x
  3. Step 3: Cross multiply
    223,464x = 458,772 × 458,772
  4. Step 4: Simplify right side
    223,464x = 210,471,747,984
  5. Step 5: Solve for x
    x = 210,471,747,984/223,464
  6. Step 6: Final answer
    x = 941,859.75

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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.