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Finding the Third Proportional to 359,048 and 756,976

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Solution

The third proportional to 359,048 and 756,976 is: 1,595,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,048 : 756,976 = 756,976 : x
  2. Step 2: Convert to fraction form
    359,048/756,976 = 756,976/x
  3. Step 3: Cross multiply
    359,048x = 756,976 × 756,976
  4. Step 4: Simplify right side
    359,048x = 573,012,664,576
  5. Step 5: Solve for x
    x = 573,012,664,576/359,048
  6. Step 6: Final answer
    x = 1,595,922.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.