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Finding the Third Proportional to 218,578 and 480,032

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Solution

The third proportional to 218,578 and 480,032 is: 1,054,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,578 : 480,032 = 480,032 : x
  2. Step 2: Convert to fraction form
    218,578/480,032 = 480,032/x
  3. Step 3: Cross multiply
    218,578x = 480,032 × 480,032
  4. Step 4: Simplify right side
    218,578x = 230,430,721,024
  5. Step 5: Solve for x
    x = 230,430,721,024/218,578
  6. Step 6: Final answer
    x = 1,054,226.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.