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Finding the Third Proportional to 413,029.13 and 555,837.19

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Solution

The third proportional to 413,029.13 and 555,837.19 is: 748,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,029.13 : 555,837.19 = 555,837.19 : x
  2. Step 2: Convert to fraction form
    413,029.13/555,837.19 = 555,837.19/x
  3. Step 3: Cross multiply
    413,029.13x = 555,837.19 × 555,837.19
  4. Step 4: Simplify right side
    413,029.13x = 308,954,979,007.91
  5. Step 5: Solve for x
    x = 308,954,979,007.91/413,029.13
  6. Step 6: Final answer
    x = 748,022.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.