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Finding the Third Proportional to 359,745.75 and 519,729.75

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Solution

The third proportional to 359,745.75 and 519,729.75 is: 750,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,745.75 : 519,729.75 = 519,729.75 : x
  2. Step 2: Convert to fraction form
    359,745.75/519,729.75 = 519,729.75/x
  3. Step 3: Cross multiply
    359,745.75x = 519,729.75 × 519,729.75
  4. Step 4: Simplify right side
    359,745.75x = 270,119,013,035.06
  5. Step 5: Solve for x
    x = 270,119,013,035.06/359,745.75
  6. Step 6: Final answer
    x = 750,860.89

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.