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Finding the Third Proportional to 209,346.75 and 453,793.50

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Solution

The third proportional to 209,346.75 and 453,793.50 is: 983,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,346.75 : 453,793.50 = 453,793.50 : x
  2. Step 2: Convert to fraction form
    209,346.75/453,793.50 = 453,793.50/x
  3. Step 3: Cross multiply
    209,346.75x = 453,793.50 × 453,793.50
  4. Step 4: Simplify right side
    209,346.75x = 205,928,540,642.25
  5. Step 5: Solve for x
    x = 205,928,540,642.25/209,346.75
  6. Step 6: Final answer
    x = 983,672.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.