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Finding the Third Proportional to 394,085.50 and 611,458.50

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Solution

The third proportional to 394,085.50 and 611,458.50 is: 948,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,085.50 : 611,458.50 = 611,458.50 : x
  2. Step 2: Convert to fraction form
    394,085.50/611,458.50 = 611,458.50/x
  3. Step 3: Cross multiply
    394,085.50x = 611,458.50 × 611,458.50
  4. Step 4: Simplify right side
    394,085.50x = 373,881,497,222.25
  5. Step 5: Solve for x
    x = 373,881,497,222.25/394,085.50
  6. Step 6: Final answer
    x = 948,731.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.