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Finding the Third Proportional to 350,976.38 and 513,302.06

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Solution

The third proportional to 350,976.38 and 513,302.06 is: 750,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,976.38 : 513,302.06 = 513,302.06 : x
  2. Step 2: Convert to fraction form
    350,976.38/513,302.06 = 513,302.06/x
  3. Step 3: Cross multiply
    350,976.38x = 513,302.06 × 513,302.06
  4. Step 4: Simplify right side
    350,976.38x = 263,479,007,366.75
  5. Step 5: Solve for x
    x = 263,479,007,366.75/350,976.38
  6. Step 6: Final answer
    x = 750,702.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.