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Finding the Third Proportional to 363,603 and 849,228

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Solution

The third proportional to 363,603 and 849,228 is: 1,983,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,603 : 849,228 = 849,228 : x
  2. Step 2: Convert to fraction form
    363,603/849,228 = 849,228/x
  3. Step 3: Cross multiply
    363,603x = 849,228 × 849,228
  4. Step 4: Simplify right side
    363,603x = 721,188,195,984
  5. Step 5: Solve for x
    x = 721,188,195,984/363,603
  6. Step 6: Final answer
    x = 1,983,449.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.