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Finding the Third Proportional to 413,912 and 845,320

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Solution

The third proportional to 413,912 and 845,320 is: 1,726,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,912 : 845,320 = 845,320 : x
  2. Step 2: Convert to fraction form
    413,912/845,320 = 845,320/x
  3. Step 3: Cross multiply
    413,912x = 845,320 × 845,320
  4. Step 4: Simplify right side
    413,912x = 714,565,902,400
  5. Step 5: Solve for x
    x = 714,565,902,400/413,912
  6. Step 6: Final answer
    x = 1,726,371.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.