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Finding the Third Proportional to 326,848 and 706,214

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Solution

The third proportional to 326,848 and 706,214 is: 1,525,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,848 : 706,214 = 706,214 : x
  2. Step 2: Convert to fraction form
    326,848/706,214 = 706,214/x
  3. Step 3: Cross multiply
    326,848x = 706,214 × 706,214
  4. Step 4: Simplify right side
    326,848x = 498,738,213,796
  5. Step 5: Solve for x
    x = 498,738,213,796/326,848
  6. Step 6: Final answer
    x = 1,525,902.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.