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Finding the Third Proportional to 359,980.25 and 773,382.25

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Solution

The third proportional to 359,980.25 and 773,382.25 is: 1,661,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,980.25 : 773,382.25 = 773,382.25 : x
  2. Step 2: Convert to fraction form
    359,980.25/773,382.25 = 773,382.25/x
  3. Step 3: Cross multiply
    359,980.25x = 773,382.25 × 773,382.25
  4. Step 4: Simplify right side
    359,980.25x = 598,120,104,615.06
  5. Step 5: Solve for x
    x = 598,120,104,615.06/359,980.25
  6. Step 6: Final answer
    x = 1,661,535.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.