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Finding the Third Proportional to 399,897 and 877,287.38

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Solution

The third proportional to 399,897 and 877,287.38 is: 1,924,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,897 : 877,287.38 = 877,287.38 : x
  2. Step 2: Convert to fraction form
    399,897/877,287.38 = 877,287.38/x
  3. Step 3: Cross multiply
    399,897x = 877,287.38 × 877,287.38
  4. Step 4: Simplify right side
    399,897x = 769,633,138,334.39
  5. Step 5: Solve for x
    x = 769,633,138,334.39/399,897
  6. Step 6: Final answer
    x = 1,924,578.42

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