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Finding the Third Proportional to 398,973 and 853,998

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Solution

The third proportional to 398,973 and 853,998 is: 1,827,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,973 : 853,998 = 853,998 : x
  2. Step 2: Convert to fraction form
    398,973/853,998 = 853,998/x
  3. Step 3: Cross multiply
    398,973x = 853,998 × 853,998
  4. Step 4: Simplify right side
    398,973x = 729,312,584,004
  5. Step 5: Solve for x
    x = 729,312,584,004/398,973
  6. Step 6: Final answer
    x = 1,827,974.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.