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Finding the Third Proportional to 400,680 and 880,088

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Solution

The third proportional to 400,680 and 880,088 is: 1,933,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,680 : 880,088 = 880,088 : x
  2. Step 2: Convert to fraction form
    400,680/880,088 = 880,088/x
  3. Step 3: Cross multiply
    400,680x = 880,088 × 880,088
  4. Step 4: Simplify right side
    400,680x = 774,554,887,744
  5. Step 5: Solve for x
    x = 774,554,887,744/400,680
  6. Step 6: Final answer
    x = 1,933,100.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.