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Finding the Third Proportional to 398,311 and 863,023

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Solution

The third proportional to 398,311 and 863,023 is: 1,869,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,311 : 863,023 = 863,023 : x
  2. Step 2: Convert to fraction form
    398,311/863,023 = 863,023/x
  3. Step 3: Cross multiply
    398,311x = 863,023 × 863,023
  4. Step 4: Simplify right side
    398,311x = 744,808,698,529
  5. Step 5: Solve for x
    x = 744,808,698,529/398,311
  6. Step 6: Final answer
    x = 1,869,917.47

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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.