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Finding the Third Proportional to 324,460 and 434,010

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Solution

The third proportional to 324,460 and 434,010 is: 580,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,460 : 434,010 = 434,010 : x
  2. Step 2: Convert to fraction form
    324,460/434,010 = 434,010/x
  3. Step 3: Cross multiply
    324,460x = 434,010 × 434,010
  4. Step 4: Simplify right side
    324,460x = 188,364,680,100
  5. Step 5: Solve for x
    x = 188,364,680,100/324,460
  6. Step 6: Final answer
    x = 580,548.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.