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Finding the Third Proportional to 359,883 and 780,789.38

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Solution

The third proportional to 359,883 and 780,789.38 is: 1,693,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,883 : 780,789.38 = 780,789.38 : x
  2. Step 2: Convert to fraction form
    359,883/780,789.38 = 780,789.38/x
  3. Step 3: Cross multiply
    359,883x = 780,789.38 × 780,789.38
  4. Step 4: Simplify right side
    359,883x = 609,632,048,112.89
  5. Step 5: Solve for x
    x = 609,632,048,112.89/359,883
  6. Step 6: Final answer
    x = 1,693,972.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.