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Finding the Third Proportional to 265,414 and 411,010

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Solution

The third proportional to 265,414 and 411,010 is: 636,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,414 : 411,010 = 411,010 : x
  2. Step 2: Convert to fraction form
    265,414/411,010 = 411,010/x
  3. Step 3: Cross multiply
    265,414x = 411,010 × 411,010
  4. Step 4: Simplify right side
    265,414x = 168,929,220,100
  5. Step 5: Solve for x
    x = 168,929,220,100/265,414
  6. Step 6: Final answer
    x = 636,474.41

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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.