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Finding the Third Proportional to 408,900 and 880,008

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Solution

The third proportional to 408,900 and 880,008 is: 1,893,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,900 : 880,008 = 880,008 : x
  2. Step 2: Convert to fraction form
    408,900/880,008 = 880,008/x
  3. Step 3: Cross multiply
    408,900x = 880,008 × 880,008
  4. Step 4: Simplify right side
    408,900x = 774,414,080,064
  5. Step 5: Solve for x
    x = 774,414,080,064/408,900
  6. Step 6: Final answer
    x = 1,893,896.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.