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Finding the Third Proportional to 321,151.50 and 705,861

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Solution

The third proportional to 321,151.50 and 705,861 is: 1,551,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,151.50 : 705,861 = 705,861 : x
  2. Step 2: Convert to fraction form
    321,151.50/705,861 = 705,861/x
  3. Step 3: Cross multiply
    321,151.50x = 705,861 × 705,861
  4. Step 4: Simplify right side
    321,151.50x = 498,239,751,321
  5. Step 5: Solve for x
    x = 498,239,751,321/321,151.50
  6. Step 6: Final answer
    x = 1,551,416.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.