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Finding the Third Proportional to 598,624 and 897,906

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Solution

The third proportional to 598,624 and 897,906 is: 1,346,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,624 : 897,906 = 897,906 : x
  2. Step 2: Convert to fraction form
    598,624/897,906 = 897,906/x
  3. Step 3: Cross multiply
    598,624x = 897,906 × 897,906
  4. Step 4: Simplify right side
    598,624x = 806,235,184,836
  5. Step 5: Solve for x
    x = 806,235,184,836/598,624
  6. Step 6: Final answer
    x = 1,346,814.00

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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.