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Finding the Third Proportional to 451,634 and 699,076

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Solution

The third proportional to 451,634 and 699,076 is: 1,082,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,634 : 699,076 = 699,076 : x
  2. Step 2: Convert to fraction form
    451,634/699,076 = 699,076/x
  3. Step 3: Cross multiply
    451,634x = 699,076 × 699,076
  4. Step 4: Simplify right side
    451,634x = 488,707,253,776
  5. Step 5: Solve for x
    x = 488,707,253,776/451,634
  6. Step 6: Final answer
    x = 1,082,086.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.