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Finding the Third Proportional to 265,336 and 410,856

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Solution

The third proportional to 265,336 and 410,856 is: 636,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,336 : 410,856 = 410,856 : x
  2. Step 2: Convert to fraction form
    265,336/410,856 = 410,856/x
  3. Step 3: Cross multiply
    265,336x = 410,856 × 410,856
  4. Step 4: Simplify right side
    265,336x = 168,802,652,736
  5. Step 5: Solve for x
    x = 168,802,652,736/265,336
  6. Step 6: Final answer
    x = 636,184.51

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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.