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Finding the Third Proportional to 260,229 and 567,613.50

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Solution

The third proportional to 260,229 and 567,613.50 is: 1,238,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,229 : 567,613.50 = 567,613.50 : x
  2. Step 2: Convert to fraction form
    260,229/567,613.50 = 567,613.50/x
  3. Step 3: Cross multiply
    260,229x = 567,613.50 × 567,613.50
  4. Step 4: Simplify right side
    260,229x = 322,185,085,382.25
  5. Step 5: Solve for x
    x = 322,185,085,382.25/260,229
  6. Step 6: Final answer
    x = 1,238,082.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.