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Finding the Third Proportional to 332,110 and 697,678

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Solution

The third proportional to 332,110 and 697,678 is: 1,465,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,110 : 697,678 = 697,678 : x
  2. Step 2: Convert to fraction form
    332,110/697,678 = 697,678/x
  3. Step 3: Cross multiply
    332,110x = 697,678 × 697,678
  4. Step 4: Simplify right side
    332,110x = 486,754,591,684
  5. Step 5: Solve for x
    x = 486,754,591,684/332,110
  6. Step 6: Final answer
    x = 1,465,642.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.