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Finding the Third Proportional to 398,258 and 859,908

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Solution

The third proportional to 398,258 and 859,908 is: 1,856,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,258 : 859,908 = 859,908 : x
  2. Step 2: Convert to fraction form
    398,258/859,908 = 859,908/x
  3. Step 3: Cross multiply
    398,258x = 859,908 × 859,908
  4. Step 4: Simplify right side
    398,258x = 739,441,768,464
  5. Step 5: Solve for x
    x = 739,441,768,464/398,258
  6. Step 6: Final answer
    x = 1,856,690.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.