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Finding the Third Proportional to 415,790.63 and 579,301.13

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Solution

The third proportional to 415,790.63 and 579,301.13 is: 807,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,790.63 : 579,301.13 = 579,301.13 : x
  2. Step 2: Convert to fraction form
    415,790.63/579,301.13 = 579,301.13/x
  3. Step 3: Cross multiply
    415,790.63x = 579,301.13 × 579,301.13
  4. Step 4: Simplify right side
    415,790.63x = 335,589,793,426.27
  5. Step 5: Solve for x
    x = 335,589,793,426.27/415,790.63
  6. Step 6: Final answer
    x = 807,112.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.