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Finding the Third Proportional to 209,830 and 332,765

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Solution

The third proportional to 209,830 and 332,765 is: 527,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,830 : 332,765 = 332,765 : x
  2. Step 2: Convert to fraction form
    209,830/332,765 = 332,765/x
  3. Step 3: Cross multiply
    209,830x = 332,765 × 332,765
  4. Step 4: Simplify right side
    209,830x = 110,732,545,225
  5. Step 5: Solve for x
    x = 110,732,545,225/209,830
  6. Step 6: Final answer
    x = 527,725.04

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