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Finding the Third Proportional to 350,846.25 and 757,815.75

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Solution

The third proportional to 350,846.25 and 757,815.75 is: 1,636,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,846.25 : 757,815.75 = 757,815.75 : x
  2. Step 2: Convert to fraction form
    350,846.25/757,815.75 = 757,815.75/x
  3. Step 3: Cross multiply
    350,846.25x = 757,815.75 × 757,815.75
  4. Step 4: Simplify right side
    350,846.25x = 574,284,710,948.06
  5. Step 5: Solve for x
    x = 574,284,710,948.06/350,846.25
  6. Step 6: Final answer
    x = 1,636,855.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.