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Finding the Third Proportional to 423,204 and 574,116

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Solution

The third proportional to 423,204 and 574,116 is: 778,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,204 : 574,116 = 574,116 : x
  2. Step 2: Convert to fraction form
    423,204/574,116 = 574,116/x
  3. Step 3: Cross multiply
    423,204x = 574,116 × 574,116
  4. Step 4: Simplify right side
    423,204x = 329,609,181,456
  5. Step 5: Solve for x
    x = 329,609,181,456/423,204
  6. Step 6: Final answer
    x = 778,842.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.