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Finding the Third Proportional to 398,248 and 859,888

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Solution

The third proportional to 398,248 and 859,888 is: 1,856,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,248 : 859,888 = 859,888 : x
  2. Step 2: Convert to fraction form
    398,248/859,888 = 859,888/x
  3. Step 3: Cross multiply
    398,248x = 859,888 × 859,888
  4. Step 4: Simplify right side
    398,248x = 739,407,372,544
  5. Step 5: Solve for x
    x = 739,407,372,544/398,248
  6. Step 6: Final answer
    x = 1,856,650.56

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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.