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Finding the Third Proportional to 337,102.50 and 724,236

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Solution

The third proportional to 337,102.50 and 724,236 is: 1,555,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,102.50 : 724,236 = 724,236 : x
  2. Step 2: Convert to fraction form
    337,102.50/724,236 = 724,236/x
  3. Step 3: Cross multiply
    337,102.50x = 724,236 × 724,236
  4. Step 4: Simplify right side
    337,102.50x = 524,517,783,696
  5. Step 5: Solve for x
    x = 524,517,783,696/337,102.50
  6. Step 6: Final answer
    x = 1,555,959.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.