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Finding the Third Proportional to 350,605 and 767,949

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Solution

The third proportional to 350,605 and 767,949 is: 1,682,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,605 : 767,949 = 767,949 : x
  2. Step 2: Convert to fraction form
    350,605/767,949 = 767,949/x
  3. Step 3: Cross multiply
    350,605x = 767,949 × 767,949
  4. Step 4: Simplify right side
    350,605x = 589,745,666,601
  5. Step 5: Solve for x
    x = 589,745,666,601/350,605
  6. Step 6: Final answer
    x = 1,682,080.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.