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Finding the Third Proportional to 398,235 and 859,803

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Solution

The third proportional to 398,235 and 859,803 is: 1,856,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,235 : 859,803 = 859,803 : x
  2. Step 2: Convert to fraction form
    398,235/859,803 = 859,803/x
  3. Step 3: Cross multiply
    398,235x = 859,803 × 859,803
  4. Step 4: Simplify right side
    398,235x = 739,261,198,809
  5. Step 5: Solve for x
    x = 739,261,198,809/398,235
  6. Step 6: Final answer
    x = 1,856,344.12

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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.