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Finding the Third Proportional to 324,600.75 and 710,255.25

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Solution

The third proportional to 324,600.75 and 710,255.25 is: 1,554,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,600.75 : 710,255.25 = 710,255.25 : x
  2. Step 2: Convert to fraction form
    324,600.75/710,255.25 = 710,255.25/x
  3. Step 3: Cross multiply
    324,600.75x = 710,255.25 × 710,255.25
  4. Step 4: Simplify right side
    324,600.75x = 504,462,520,152.56
  5. Step 5: Solve for x
    x = 504,462,520,152.56/324,600.75
  6. Step 6: Final answer
    x = 1,554,101.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.