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Finding the Third Proportional to 264,613.50 and 571,668.75

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Solution

The third proportional to 264,613.50 and 571,668.75 is: 1,235,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,613.50 : 571,668.75 = 571,668.75 : x
  2. Step 2: Convert to fraction form
    264,613.50/571,668.75 = 571,668.75/x
  3. Step 3: Cross multiply
    264,613.50x = 571,668.75 × 571,668.75
  4. Step 4: Simplify right side
    264,613.50x = 326,805,159,726.56
  5. Step 5: Solve for x
    x = 326,805,159,726.56/264,613.50
  6. Step 6: Final answer
    x = 1,235,028.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.