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Finding the Third Proportional to 326,848 and 706,214.50

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Solution

The third proportional to 326,848 and 706,214.50 is: 1,525,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,848 : 706,214.50 = 706,214.50 : x
  2. Step 2: Convert to fraction form
    326,848/706,214.50 = 706,214.50/x
  3. Step 3: Cross multiply
    326,848x = 706,214.50 × 706,214.50
  4. Step 4: Simplify right side
    326,848x = 498,738,920,010.25
  5. Step 5: Solve for x
    x = 498,738,920,010.25/326,848
  6. Step 6: Final answer
    x = 1,525,904.76

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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.