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Finding the Third Proportional to 332,107.50 and 697,674

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Solution

The third proportional to 332,107.50 and 697,674 is: 1,465,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,107.50 : 697,674 = 697,674 : x
  2. Step 2: Convert to fraction form
    332,107.50/697,674 = 697,674/x
  3. Step 3: Cross multiply
    332,107.50x = 697,674 × 697,674
  4. Step 4: Simplify right side
    332,107.50x = 486,749,010,276
  5. Step 5: Solve for x
    x = 486,749,010,276/332,107.50
  6. Step 6: Final answer
    x = 1,465,636.91

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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.