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Finding the Third Proportional to 366,984 and 759,148

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Solution

The third proportional to 366,984 and 759,148 is: 1,570,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,984 : 759,148 = 759,148 : x
  2. Step 2: Convert to fraction form
    366,984/759,148 = 759,148/x
  3. Step 3: Cross multiply
    366,984x = 759,148 × 759,148
  4. Step 4: Simplify right side
    366,984x = 576,305,685,904
  5. Step 5: Solve for x
    x = 576,305,685,904/366,984
  6. Step 6: Final answer
    x = 1,570,383.68

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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.