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Finding the Third Proportional to 233,304 and 491,509

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Solution

The third proportional to 233,304 and 491,509 is: 1,035,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,304 : 491,509 = 491,509 : x
  2. Step 2: Convert to fraction form
    233,304/491,509 = 491,509/x
  3. Step 3: Cross multiply
    233,304x = 491,509 × 491,509
  4. Step 4: Simplify right side
    233,304x = 241,581,097,081
  5. Step 5: Solve for x
    x = 241,581,097,081/233,304
  6. Step 6: Final answer
    x = 1,035,477.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.