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Finding the Third Proportional to 470,086 and 716,150

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Solution

The third proportional to 470,086 and 716,150 is: 1,091,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,086 : 716,150 = 716,150 : x
  2. Step 2: Convert to fraction form
    470,086/716,150 = 716,150/x
  3. Step 3: Cross multiply
    470,086x = 716,150 × 716,150
  4. Step 4: Simplify right side
    470,086x = 512,870,822,500
  5. Step 5: Solve for x
    x = 512,870,822,500/470,086
  6. Step 6: Final answer
    x = 1,091,014.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.