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Finding the Third Proportional to 399,118 and 602,824

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Solution

The third proportional to 399,118 and 602,824 is: 910,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,118 : 602,824 = 602,824 : x
  2. Step 2: Convert to fraction form
    399,118/602,824 = 602,824/x
  3. Step 3: Cross multiply
    399,118x = 602,824 × 602,824
  4. Step 4: Simplify right side
    399,118x = 363,396,774,976
  5. Step 5: Solve for x
    x = 363,396,774,976/399,118
  6. Step 6: Final answer
    x = 910,499.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.