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Finding the Third Proportional to 217,828 and 469,032

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Solution

The third proportional to 217,828 and 469,032 is: 1,009,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,828 : 469,032 = 469,032 : x
  2. Step 2: Convert to fraction form
    217,828/469,032 = 469,032/x
  3. Step 3: Cross multiply
    217,828x = 469,032 × 469,032
  4. Step 4: Simplify right side
    217,828x = 219,991,017,024
  5. Step 5: Solve for x
    x = 219,991,017,024/217,828
  6. Step 6: Final answer
    x = 1,009,929.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.