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Finding the Third Proportional to 295,245 and 470,016

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Solution

The third proportional to 295,245 and 470,016 is: 748,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,245 : 470,016 = 470,016 : x
  2. Step 2: Convert to fraction form
    295,245/470,016 = 470,016/x
  3. Step 3: Cross multiply
    295,245x = 470,016 × 470,016
  4. Step 4: Simplify right side
    295,245x = 220,915,040,256
  5. Step 5: Solve for x
    x = 220,915,040,256/295,245
  6. Step 6: Final answer
    x = 748,243.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.