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Finding the Third Proportional to 404,131.13 and 588,427.31

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Solution

The third proportional to 404,131.13 and 588,427.31 is: 856,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,131.13 : 588,427.31 = 588,427.31 : x
  2. Step 2: Convert to fraction form
    404,131.13/588,427.31 = 588,427.31/x
  3. Step 3: Cross multiply
    404,131.13x = 588,427.31 × 588,427.31
  4. Step 4: Simplify right side
    404,131.13x = 346,246,702,095.97
  5. Step 5: Solve for x
    x = 346,246,702,095.97/404,131.13
  6. Step 6: Final answer
    x = 856,768.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.