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Finding the Third Proportional to 233,766 and 474,822

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Solution

The third proportional to 233,766 and 474,822 is: 964,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,766 : 474,822 = 474,822 : x
  2. Step 2: Convert to fraction form
    233,766/474,822 = 474,822/x
  3. Step 3: Cross multiply
    233,766x = 474,822 × 474,822
  4. Step 4: Simplify right side
    233,766x = 225,455,931,684
  5. Step 5: Solve for x
    x = 225,455,931,684/233,766
  6. Step 6: Final answer
    x = 964,451.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.