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Finding the Third Proportional to 470,090 and 706,176

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Solution

The third proportional to 470,090 and 706,176 is: 1,060,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,090 : 706,176 = 706,176 : x
  2. Step 2: Convert to fraction form
    470,090/706,176 = 706,176/x
  3. Step 3: Cross multiply
    470,090x = 706,176 × 706,176
  4. Step 4: Simplify right side
    470,090x = 498,684,542,976
  5. Step 5: Solve for x
    x = 498,684,542,976/470,090
  6. Step 6: Final answer
    x = 1,060,827.81

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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.