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Finding the Third Proportional to 335,751 and 721,197

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Solution

The third proportional to 335,751 and 721,197 is: 1,549,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,751 : 721,197 = 721,197 : x
  2. Step 2: Convert to fraction form
    335,751/721,197 = 721,197/x
  3. Step 3: Cross multiply
    335,751x = 721,197 × 721,197
  4. Step 4: Simplify right side
    335,751x = 520,125,112,809
  5. Step 5: Solve for x
    x = 520,125,112,809/335,751
  6. Step 6: Final answer
    x = 1,549,139.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.