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Finding the Third Proportional to 264,476.81 and 396,721.13

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Solution

The third proportional to 264,476.81 and 396,721.13 is: 595,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,476.81 : 396,721.13 = 396,721.13 : x
  2. Step 2: Convert to fraction form
    264,476.81/396,721.13 = 396,721.13/x
  3. Step 3: Cross multiply
    264,476.81x = 396,721.13 × 396,721.13
  4. Step 4: Simplify right side
    264,476.81x = 157,387,651,021.27
  5. Step 5: Solve for x
    x = 157,387,651,021.27/264,476.81
  6. Step 6: Final answer
    x = 595,090.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.