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Finding the Third Proportional to 598,907 and 897,436

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Solution

The third proportional to 598,907 and 897,436 is: 1,344,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,907 : 897,436 = 897,436 : x
  2. Step 2: Convert to fraction form
    598,907/897,436 = 897,436/x
  3. Step 3: Cross multiply
    598,907x = 897,436 × 897,436
  4. Step 4: Simplify right side
    598,907x = 805,391,374,096
  5. Step 5: Solve for x
    x = 805,391,374,096/598,907
  6. Step 6: Final answer
    x = 1,344,768.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.