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Finding the Third Proportional to 359,976 and 787,740

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Solution

The third proportional to 359,976 and 787,740 is: 1,723,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,976 : 787,740 = 787,740 : x
  2. Step 2: Convert to fraction form
    359,976/787,740 = 787,740/x
  3. Step 3: Cross multiply
    359,976x = 787,740 × 787,740
  4. Step 4: Simplify right side
    359,976x = 620,534,307,600
  5. Step 5: Solve for x
    x = 620,534,307,600/359,976
  6. Step 6: Final answer
    x = 1,723,821.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.