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Finding the Third Proportional to 322,465.50 and 700,150.50

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Solution

The third proportional to 322,465.50 and 700,150.50 is: 1,520,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,465.50 : 700,150.50 = 700,150.50 : x
  2. Step 2: Convert to fraction form
    322,465.50/700,150.50 = 700,150.50/x
  3. Step 3: Cross multiply
    322,465.50x = 700,150.50 × 700,150.50
  4. Step 4: Simplify right side
    322,465.50x = 490,210,722,650.25
  5. Step 5: Solve for x
    x = 490,210,722,650.25/322,465.50
  6. Step 6: Final answer
    x = 1,520,195.87

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