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Finding the Third Proportional to 350,724.94 and 544,146.19

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Solution

The third proportional to 350,724.94 and 544,146.19 is: 844,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,724.94 : 544,146.19 = 544,146.19 : x
  2. Step 2: Convert to fraction form
    350,724.94/544,146.19 = 544,146.19/x
  3. Step 3: Cross multiply
    350,724.94x = 544,146.19 × 544,146.19
  4. Step 4: Simplify right side
    350,724.94x = 296,095,073,370.79
  5. Step 5: Solve for x
    x = 296,095,073,370.79/350,724.94
  6. Step 6: Final answer
    x = 844,237.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.