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Finding the Third Proportional to 215,813 and 470,971

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Solution

The third proportional to 215,813 and 470,971 is: 1,027,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,813 : 470,971 = 470,971 : x
  2. Step 2: Convert to fraction form
    215,813/470,971 = 470,971/x
  3. Step 3: Cross multiply
    215,813x = 470,971 × 470,971
  4. Step 4: Simplify right side
    215,813x = 221,813,682,841
  5. Step 5: Solve for x
    x = 221,813,682,841/215,813
  6. Step 6: Final answer
    x = 1,027,805.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.