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Finding the Third Proportional to 350,850 and 757,740

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Solution

The third proportional to 350,850 and 757,740 is: 1,636,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,850 : 757,740 = 757,740 : x
  2. Step 2: Convert to fraction form
    350,850/757,740 = 757,740/x
  3. Step 3: Cross multiply
    350,850x = 757,740 × 757,740
  4. Step 4: Simplify right side
    350,850x = 574,169,907,600
  5. Step 5: Solve for x
    x = 574,169,907,600/350,850
  6. Step 6: Final answer
    x = 1,636,511.07

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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.