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Finding the Third Proportional to 389,356 and 863,257

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Solution

The third proportional to 389,356 and 863,257 is: 1,913,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,356 : 863,257 = 863,257 : x
  2. Step 2: Convert to fraction form
    389,356/863,257 = 863,257/x
  3. Step 3: Cross multiply
    389,356x = 863,257 × 863,257
  4. Step 4: Simplify right side
    389,356x = 745,212,648,049
  5. Step 5: Solve for x
    x = 745,212,648,049/389,356
  6. Step 6: Final answer
    x = 1,913,962.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.