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Finding the Third Proportional to 511,651.69 and 794,453.06

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Solution

The third proportional to 511,651.69 and 794,453.06 is: 1,233,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,651.69 : 794,453.06 = 794,453.06 : x
  2. Step 2: Convert to fraction form
    511,651.69/794,453.06 = 794,453.06/x
  3. Step 3: Cross multiply
    511,651.69x = 794,453.06 × 794,453.06
  4. Step 4: Simplify right side
    511,651.69x = 631,155,668,515.63
  5. Step 5: Solve for x
    x = 631,155,668,515.63/511,651.69
  6. Step 6: Final answer
    x = 1,233,565.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.