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Finding the Third Proportional to 470,096 and 706,180

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Solution

The third proportional to 470,096 and 706,180 is: 1,060,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,096 : 706,180 = 706,180 : x
  2. Step 2: Convert to fraction form
    470,096/706,180 = 706,180/x
  3. Step 3: Cross multiply
    470,096x = 706,180 × 706,180
  4. Step 4: Simplify right side
    470,096x = 498,690,192,400
  5. Step 5: Solve for x
    x = 498,690,192,400/470,096
  6. Step 6: Final answer
    x = 1,060,826.28

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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.