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Finding the Third Proportional to 359,981.25 and 773,383.50

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Solution

The third proportional to 359,981.25 and 773,383.50 is: 1,661,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,981.25 : 773,383.50 = 773,383.50 : x
  2. Step 2: Convert to fraction form
    359,981.25/773,383.50 = 773,383.50/x
  3. Step 3: Cross multiply
    359,981.25x = 773,383.50 × 773,383.50
  4. Step 4: Simplify right side
    359,981.25x = 598,122,038,072.25
  5. Step 5: Solve for x
    x = 598,122,038,072.25/359,981.25
  6. Step 6: Final answer
    x = 1,661,536.64

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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.