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Finding the Third Proportional to 326,280 and 722,436

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Solution

The third proportional to 326,280 and 722,436 is: 1,599,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,280 : 722,436 = 722,436 : x
  2. Step 2: Convert to fraction form
    326,280/722,436 = 722,436/x
  3. Step 3: Cross multiply
    326,280x = 722,436 × 722,436
  4. Step 4: Simplify right side
    326,280x = 521,913,774,096
  5. Step 5: Solve for x
    x = 521,913,774,096/326,280
  6. Step 6: Final answer
    x = 1,599,588.62

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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.