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Finding the Third Proportional to 359,741 and 777,112

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Solution

The third proportional to 359,741 and 777,112 is: 1,678,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,741 : 777,112 = 777,112 : x
  2. Step 2: Convert to fraction form
    359,741/777,112 = 777,112/x
  3. Step 3: Cross multiply
    359,741x = 777,112 × 777,112
  4. Step 4: Simplify right side
    359,741x = 603,903,060,544
  5. Step 5: Solve for x
    x = 603,903,060,544/359,741
  6. Step 6: Final answer
    x = 1,678,716.24

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Why These Related Problems?

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