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Finding the Third Proportional to 394,101 and 611,482.50

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Solution

The third proportional to 394,101 and 611,482.50 is: 948,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,101 : 611,482.50 = 611,482.50 : x
  2. Step 2: Convert to fraction form
    394,101/611,482.50 = 611,482.50/x
  3. Step 3: Cross multiply
    394,101x = 611,482.50 × 611,482.50
  4. Step 4: Simplify right side
    394,101x = 373,910,847,806.25
  5. Step 5: Solve for x
    x = 373,910,847,806.25/394,101
  6. Step 6: Final answer
    x = 948,769.09

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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.