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Finding the Third Proportional to 366,928 and 788,100

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Solution

The third proportional to 366,928 and 788,100 is: 1,692,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,928 : 788,100 = 788,100 : x
  2. Step 2: Convert to fraction form
    366,928/788,100 = 788,100/x
  3. Step 3: Cross multiply
    366,928x = 788,100 × 788,100
  4. Step 4: Simplify right side
    366,928x = 621,101,610,000
  5. Step 5: Solve for x
    x = 621,101,610,000/366,928
  6. Step 6: Final answer
    x = 1,692,707.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.