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Finding the Third Proportional to 470,086 and 716,152

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Solution

The third proportional to 470,086 and 716,152 is: 1,091,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,086 : 716,152 = 716,152 : x
  2. Step 2: Convert to fraction form
    470,086/716,152 = 716,152/x
  3. Step 3: Cross multiply
    470,086x = 716,152 × 716,152
  4. Step 4: Simplify right side
    470,086x = 512,873,687,104
  5. Step 5: Solve for x
    x = 512,873,687,104/470,086
  6. Step 6: Final answer
    x = 1,091,020.98

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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.