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Finding the Third Proportional to 359,791.88 and 774,957.38

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Solution

The third proportional to 359,791.88 and 774,957.38 is: 1,669,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,791.88 : 774,957.38 = 774,957.38 : x
  2. Step 2: Convert to fraction form
    359,791.88/774,957.38 = 774,957.38/x
  3. Step 3: Cross multiply
    359,791.88x = 774,957.38 × 774,957.38
  4. Step 4: Simplify right side
    359,791.88x = 600,558,933,066.89
  5. Step 5: Solve for x
    x = 600,558,933,066.89/359,791.88
  6. Step 6: Final answer
    x = 1,669,184.26

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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.