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Finding the Third Proportional to 363,597 and 849,213.75

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Solution

The third proportional to 363,597 and 849,213.75 is: 1,983,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,597 : 849,213.75 = 849,213.75 : x
  2. Step 2: Convert to fraction form
    363,597/849,213.75 = 849,213.75/x
  3. Step 3: Cross multiply
    363,597x = 849,213.75 × 849,213.75
  4. Step 4: Simplify right side
    363,597x = 721,163,993,189.06
  5. Step 5: Solve for x
    x = 721,163,993,189.06/363,597
  6. Step 6: Final answer
    x = 1,983,415.69

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