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Finding the Third Proportional to 366,928 and 793,760

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Solution

The third proportional to 366,928 and 793,760 is: 1,717,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,928 : 793,760 = 793,760 : x
  2. Step 2: Convert to fraction form
    366,928/793,760 = 793,760/x
  3. Step 3: Cross multiply
    366,928x = 793,760 × 793,760
  4. Step 4: Simplify right side
    366,928x = 630,054,937,600
  5. Step 5: Solve for x
    x = 630,054,937,600/366,928
  6. Step 6: Final answer
    x = 1,717,107.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.