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Finding the Third Proportional to 408,908 and 880,024

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Solution

The third proportional to 408,908 and 880,024 is: 1,893,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,908 : 880,024 = 880,024 : x
  2. Step 2: Convert to fraction form
    408,908/880,024 = 880,024/x
  3. Step 3: Cross multiply
    408,908x = 880,024 × 880,024
  4. Step 4: Simplify right side
    408,908x = 774,442,240,576
  5. Step 5: Solve for x
    x = 774,442,240,576/408,908
  6. Step 6: Final answer
    x = 1,893,927.83

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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.