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Finding the Third Proportional to 324,509.25 and 710,193

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Solution

The third proportional to 324,509.25 and 710,193 is: 1,554,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,509.25 : 710,193 = 710,193 : x
  2. Step 2: Convert to fraction form
    324,509.25/710,193 = 710,193/x
  3. Step 3: Cross multiply
    324,509.25x = 710,193 × 710,193
  4. Step 4: Simplify right side
    324,509.25x = 504,374,097,249
  5. Step 5: Solve for x
    x = 504,374,097,249/324,509.25
  6. Step 6: Final answer
    x = 1,554,267.24

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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.