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Finding the Third Proportional to 326,608 and 713,120

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Solution

The third proportional to 326,608 and 713,120 is: 1,557,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,608 : 713,120 = 713,120 : x
  2. Step 2: Convert to fraction form
    326,608/713,120 = 713,120/x
  3. Step 3: Cross multiply
    326,608x = 713,120 × 713,120
  4. Step 4: Simplify right side
    326,608x = 508,540,134,400
  5. Step 5: Solve for x
    x = 508,540,134,400/326,608
  6. Step 6: Final answer
    x = 1,557,035.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.