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Finding the Third Proportional to 462,783 and 699,108

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Solution

The third proportional to 462,783 and 699,108 is: 1,056,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,783 : 699,108 = 699,108 : x
  2. Step 2: Convert to fraction form
    462,783/699,108 = 699,108/x
  3. Step 3: Cross multiply
    462,783x = 699,108 × 699,108
  4. Step 4: Simplify right side
    462,783x = 488,751,995,664
  5. Step 5: Solve for x
    x = 488,751,995,664/462,783
  6. Step 6: Final answer
    x = 1,056,114.84

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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.