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Finding the Third Proportional to 595,107 and 898,188.75

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Solution

The third proportional to 595,107 and 898,188.75 is: 1,355,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,107 : 898,188.75 = 898,188.75 : x
  2. Step 2: Convert to fraction form
    595,107/898,188.75 = 898,188.75/x
  3. Step 3: Cross multiply
    595,107x = 898,188.75 × 898,188.75
  4. Step 4: Simplify right side
    595,107x = 806,743,030,626.56
  5. Step 5: Solve for x
    x = 806,743,030,626.56/595,107
  6. Step 6: Final answer
    x = 1,355,626.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.