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Finding the Third Proportional to 265,042 and 410,847

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Solution

The third proportional to 265,042 and 410,847 is: 636,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,042 : 410,847 = 410,847 : x
  2. Step 2: Convert to fraction form
    265,042/410,847 = 410,847/x
  3. Step 3: Cross multiply
    265,042x = 410,847 × 410,847
  4. Step 4: Simplify right side
    265,042x = 168,795,257,409
  5. Step 5: Solve for x
    x = 168,795,257,409/265,042
  6. Step 6: Final answer
    x = 636,862.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.