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Finding the Third Proportional to 392,263.50 and 846,734.75

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Solution

The third proportional to 392,263.50 and 846,734.75 is: 1,827,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,263.50 : 846,734.75 = 846,734.75 : x
  2. Step 2: Convert to fraction form
    392,263.50/846,734.75 = 846,734.75/x
  3. Step 3: Cross multiply
    392,263.50x = 846,734.75 × 846,734.75
  4. Step 4: Simplify right side
    392,263.50x = 716,959,736,857.56
  5. Step 5: Solve for x
    x = 716,959,736,857.56/392,263.50
  6. Step 6: Final answer
    x = 1,827,750.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.