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Finding the Third Proportional to 450,756 and 697,596

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Solution

The third proportional to 450,756 and 697,596 is: 1,079,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,756 : 697,596 = 697,596 : x
  2. Step 2: Convert to fraction form
    450,756/697,596 = 697,596/x
  3. Step 3: Cross multiply
    450,756x = 697,596 × 697,596
  4. Step 4: Simplify right side
    450,756x = 486,640,179,216
  5. Step 5: Solve for x
    x = 486,640,179,216/450,756
  6. Step 6: Final answer
    x = 1,079,608.88

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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.