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Finding the Third Proportional to 359,733.75 and 777,102.75

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Solution

The third proportional to 359,733.75 and 777,102.75 is: 1,678,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,733.75 : 777,102.75 = 777,102.75 : x
  2. Step 2: Convert to fraction form
    359,733.75/777,102.75 = 777,102.75/x
  3. Step 3: Cross multiply
    359,733.75x = 777,102.75 × 777,102.75
  4. Step 4: Simplify right side
    359,733.75x = 603,888,684,057.56
  5. Step 5: Solve for x
    x = 603,888,684,057.56/359,733.75
  6. Step 6: Final answer
    x = 1,678,710.11

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