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Finding the Third Proportional to 421,692 and 670,077

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Solution

The third proportional to 421,692 and 670,077 is: 1,064,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,692 : 670,077 = 670,077 : x
  2. Step 2: Convert to fraction form
    421,692/670,077 = 670,077/x
  3. Step 3: Cross multiply
    421,692x = 670,077 × 670,077
  4. Step 4: Simplify right side
    421,692x = 449,003,185,929
  5. Step 5: Solve for x
    x = 449,003,185,929/421,692
  6. Step 6: Final answer
    x = 1,064,765.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.