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Finding the Third Proportional to 209,822 and 332,753

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Solution

The third proportional to 209,822 and 332,753 is: 527,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,822 : 332,753 = 332,753 : x
  2. Step 2: Convert to fraction form
    209,822/332,753 = 332,753/x
  3. Step 3: Cross multiply
    209,822x = 332,753 × 332,753
  4. Step 4: Simplify right side
    209,822x = 110,724,559,009
  5. Step 5: Solve for x
    x = 110,724,559,009/209,822
  6. Step 6: Final answer
    x = 527,707.10

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Why These Related Problems?

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