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Finding the Third Proportional to 462,780 and 699,102

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Solution

The third proportional to 462,780 and 699,102 is: 1,056,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,780 : 699,102 = 699,102 : x
  2. Step 2: Convert to fraction form
    462,780/699,102 = 699,102/x
  3. Step 3: Cross multiply
    462,780x = 699,102 × 699,102
  4. Step 4: Simplify right side
    462,780x = 488,743,606,404
  5. Step 5: Solve for x
    x = 488,743,606,404/462,780
  6. Step 6: Final answer
    x = 1,056,103.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.