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Finding the Third Proportional to 392,557.50 and 856,539

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Solution

The third proportional to 392,557.50 and 856,539 is: 1,868,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,557.50 : 856,539 = 856,539 : x
  2. Step 2: Convert to fraction form
    392,557.50/856,539 = 856,539/x
  3. Step 3: Cross multiply
    392,557.50x = 856,539 × 856,539
  4. Step 4: Simplify right side
    392,557.50x = 733,659,058,521
  5. Step 5: Solve for x
    x = 733,659,058,521/392,557.50
  6. Step 6: Final answer
    x = 1,868,921.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.