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Finding the Third Proportional to 413,324.25 and 585,014.25

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Solution

The third proportional to 413,324.25 and 585,014.25 is: 828,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,324.25 : 585,014.25 = 585,014.25 : x
  2. Step 2: Convert to fraction form
    413,324.25/585,014.25 = 585,014.25/x
  3. Step 3: Cross multiply
    413,324.25x = 585,014.25 × 585,014.25
  4. Step 4: Simplify right side
    413,324.25x = 342,241,672,703.06
  5. Step 5: Solve for x
    x = 342,241,672,703.06/413,324.25
  6. Step 6: Final answer
    x = 828,022.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.