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Finding the Third Proportional to 392,548 and 851,480

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Solution

The third proportional to 392,548 and 851,480 is: 1,846,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,548 : 851,480 = 851,480 : x
  2. Step 2: Convert to fraction form
    392,548/851,480 = 851,480/x
  3. Step 3: Cross multiply
    392,548x = 851,480 × 851,480
  4. Step 4: Simplify right side
    392,548x = 725,018,190,400
  5. Step 5: Solve for x
    x = 725,018,190,400/392,548
  6. Step 6: Final answer
    x = 1,846,954.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.