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Finding the Third Proportional to 415,992.38 and 594,464.06

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Solution

The third proportional to 415,992.38 and 594,464.06 is: 849,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,992.38 : 594,464.06 = 594,464.06 : x
  2. Step 2: Convert to fraction form
    415,992.38/594,464.06 = 594,464.06/x
  3. Step 3: Cross multiply
    415,992.38x = 594,464.06 × 594,464.06
  4. Step 4: Simplify right side
    415,992.38x = 353,387,521,604.00
  5. Step 5: Solve for x
    x = 353,387,521,604.00/415,992.38
  6. Step 6: Final answer
    x = 849,504.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.