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Finding the Third Proportional to 450,780 and 697,632

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Solution

The third proportional to 450,780 and 697,632 is: 1,079,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,780 : 697,632 = 697,632 : x
  2. Step 2: Convert to fraction form
    450,780/697,632 = 697,632/x
  3. Step 3: Cross multiply
    450,780x = 697,632 × 697,632
  4. Step 4: Simplify right side
    450,780x = 486,690,407,424
  5. Step 5: Solve for x
    x = 486,690,407,424/450,780
  6. Step 6: Final answer
    x = 1,079,662.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.