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Finding the Third Proportional to 324,509.75 and 710,194

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Solution

The third proportional to 324,509.75 and 710,194 is: 1,554,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,509.75 : 710,194 = 710,194 : x
  2. Step 2: Convert to fraction form
    324,509.75/710,194 = 710,194/x
  3. Step 3: Cross multiply
    324,509.75x = 710,194 × 710,194
  4. Step 4: Simplify right side
    324,509.75x = 504,375,517,636
  5. Step 5: Solve for x
    x = 504,375,517,636/324,509.75
  6. Step 6: Final answer
    x = 1,554,269.22

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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.