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Finding the Third Proportional to 436,908.09 and 590,290.88

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Solution

The third proportional to 436,908.09 and 590,290.88 is: 797,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,908.09 : 590,290.88 = 590,290.88 : x
  2. Step 2: Convert to fraction form
    436,908.09/590,290.88 = 590,290.88/x
  3. Step 3: Cross multiply
    436,908.09x = 590,290.88 × 590,290.88
  4. Step 4: Simplify right side
    436,908.09x = 348,443,317,108.27
  5. Step 5: Solve for x
    x = 348,443,317,108.27/436,908.09
  6. Step 6: Final answer
    x = 797,520.86

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Why These Related Problems?

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