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Finding the Third Proportional to 398,425 and 863,222

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Solution

The third proportional to 398,425 and 863,222 is: 1,870,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,425 : 863,222 = 863,222 : x
  2. Step 2: Convert to fraction form
    398,425/863,222 = 863,222/x
  3. Step 3: Cross multiply
    398,425x = 863,222 × 863,222
  4. Step 4: Simplify right side
    398,425x = 745,152,221,284
  5. Step 5: Solve for x
    x = 745,152,221,284/398,425
  6. Step 6: Final answer
    x = 1,870,244.64

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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.