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Finding the Third Proportional to 326,848 and 701,120

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Solution

The third proportional to 326,848 and 701,120 is: 1,503,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,848 : 701,120 = 701,120 : x
  2. Step 2: Convert to fraction form
    326,848/701,120 = 701,120/x
  3. Step 3: Cross multiply
    326,848x = 701,120 × 701,120
  4. Step 4: Simplify right side
    326,848x = 491,569,254,400
  5. Step 5: Solve for x
    x = 491,569,254,400/326,848
  6. Step 6: Final answer
    x = 1,503,968.98

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Why These Related Problems?

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