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Finding the Third Proportional to 217,697.63 and 512,221.50

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Solution

The third proportional to 217,697.63 and 512,221.50 is: 1,205,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,697.63 : 512,221.50 = 512,221.50 : x
  2. Step 2: Convert to fraction form
    217,697.63/512,221.50 = 512,221.50/x
  3. Step 3: Cross multiply
    217,697.63x = 512,221.50 × 512,221.50
  4. Step 4: Simplify right side
    217,697.63x = 262,370,865,062.25
  5. Step 5: Solve for x
    x = 262,370,865,062.25/217,697.63
  6. Step 6: Final answer
    x = 1,205,207.75

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.