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Finding the Third Proportional to 407,008 and 884,078

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Solution

The third proportional to 407,008 and 884,078 is: 1,920,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,008 : 884,078 = 884,078 : x
  2. Step 2: Convert to fraction form
    407,008/884,078 = 884,078/x
  3. Step 3: Cross multiply
    407,008x = 884,078 × 884,078
  4. Step 4: Simplify right side
    407,008x = 781,593,910,084
  5. Step 5: Solve for x
    x = 781,593,910,084/407,008
  6. Step 6: Final answer
    x = 1,920,340.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.