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Finding the Third Proportional to 215,032 and 470,976

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Solution

The third proportional to 215,032 and 470,976 is: 1,031,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,032 : 470,976 = 470,976 : x
  2. Step 2: Convert to fraction form
    215,032/470,976 = 470,976/x
  3. Step 3: Cross multiply
    215,032x = 470,976 × 470,976
  4. Step 4: Simplify right side
    215,032x = 221,818,392,576
  5. Step 5: Solve for x
    x = 221,818,392,576/215,032
  6. Step 6: Final answer
    x = 1,031,559.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.