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Finding the Third Proportional to 215,685 and 468,629.50

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Solution

The third proportional to 215,685 and 468,629.50 is: 1,018,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,685 : 468,629.50 = 468,629.50 : x
  2. Step 2: Convert to fraction form
    215,685/468,629.50 = 468,629.50/x
  3. Step 3: Cross multiply
    215,685x = 468,629.50 × 468,629.50
  4. Step 4: Simplify right side
    215,685x = 219,613,608,270.25
  5. Step 5: Solve for x
    x = 219,613,608,270.25/215,685
  6. Step 6: Final answer
    x = 1,018,214.56

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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.