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Finding the Third Proportional to 390,865.50 and 856,541.25

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Solution

The third proportional to 390,865.50 and 856,541.25 is: 1,877,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,865.50 : 856,541.25 = 856,541.25 : x
  2. Step 2: Convert to fraction form
    390,865.50/856,541.25 = 856,541.25/x
  3. Step 3: Cross multiply
    390,865.50x = 856,541.25 × 856,541.25
  4. Step 4: Simplify right side
    390,865.50x = 733,662,912,951.56
  5. Step 5: Solve for x
    x = 733,662,912,951.56/390,865.50
  6. Step 6: Final answer
    x = 1,877,021.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.