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Finding the Third Proportional to 350,762 and 757,573

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Solution

The third proportional to 350,762 and 757,573 is: 1,636,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,762 : 757,573 = 757,573 : x
  2. Step 2: Convert to fraction form
    350,762/757,573 = 757,573/x
  3. Step 3: Cross multiply
    350,762x = 757,573 × 757,573
  4. Step 4: Simplify right side
    350,762x = 573,916,850,329
  5. Step 5: Solve for x
    x = 573,916,850,329/350,762
  6. Step 6: Final answer
    x = 1,636,200.19

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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.