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Finding the Third Proportional to 415,786.50 and 579,295.13

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Solution

The third proportional to 415,786.50 and 579,295.13 is: 807,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,786.50 : 579,295.13 = 579,295.13 : x
  2. Step 2: Convert to fraction form
    415,786.50/579,295.13 = 579,295.13/x
  3. Step 3: Cross multiply
    415,786.50x = 579,295.13 × 579,295.13
  4. Step 4: Simplify right side
    415,786.50x = 335,582,841,848.77
  5. Step 5: Solve for x
    x = 335,582,841,848.77/415,786.50
  6. Step 6: Final answer
    x = 807,103.75

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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.