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Finding the Third Proportional to 326,274 and 722,424

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Solution

The third proportional to 326,274 and 722,424 is: 1,599,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,274 : 722,424 = 722,424 : x
  2. Step 2: Convert to fraction form
    326,274/722,424 = 722,424/x
  3. Step 3: Cross multiply
    326,274x = 722,424 × 722,424
  4. Step 4: Simplify right side
    326,274x = 521,896,435,776
  5. Step 5: Solve for x
    x = 521,896,435,776/326,274
  6. Step 6: Final answer
    x = 1,599,564.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.