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Finding the Third Proportional to 366,964 and 759,099

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Solution

The third proportional to 366,964 and 759,099 is: 1,570,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,964 : 759,099 = 759,099 : x
  2. Step 2: Convert to fraction form
    366,964/759,099 = 759,099/x
  3. Step 3: Cross multiply
    366,964x = 759,099 × 759,099
  4. Step 4: Simplify right side
    366,964x = 576,231,291,801
  5. Step 5: Solve for x
    x = 576,231,291,801/366,964
  6. Step 6: Final answer
    x = 1,570,266.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.