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Finding the Third Proportional to 350,066 and 767,914

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Solution

The third proportional to 350,066 and 767,914 is: 1,684,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,066 : 767,914 = 767,914 : x
  2. Step 2: Convert to fraction form
    350,066/767,914 = 767,914/x
  3. Step 3: Cross multiply
    350,066x = 767,914 × 767,914
  4. Step 4: Simplify right side
    350,066x = 589,691,911,396
  5. Step 5: Solve for x
    x = 589,691,911,396/350,066
  6. Step 6: Final answer
    x = 1,684,516.38

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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.