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Finding the Third Proportional to 295,886 and 650,704

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Solution

The third proportional to 295,886 and 650,704 is: 1,431,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,886 : 650,704 = 650,704 : x
  2. Step 2: Convert to fraction form
    295,886/650,704 = 650,704/x
  3. Step 3: Cross multiply
    295,886x = 650,704 × 650,704
  4. Step 4: Simplify right side
    295,886x = 423,415,695,616
  5. Step 5: Solve for x
    x = 423,415,695,616/295,886
  6. Step 6: Final answer
    x = 1,431,009.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.