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Finding the Third Proportional to 553,171 and 834,844

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Solution

The third proportional to 553,171 and 834,844 is: 1,259,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,171 : 834,844 = 834,844 : x
  2. Step 2: Convert to fraction form
    553,171/834,844 = 834,844/x
  3. Step 3: Cross multiply
    553,171x = 834,844 × 834,844
  4. Step 4: Simplify right side
    553,171x = 696,964,504,336
  5. Step 5: Solve for x
    x = 696,964,504,336/553,171
  6. Step 6: Final answer
    x = 1,259,944.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.