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Finding the Third Proportional to 436,911.38 and 590,295.56

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Solution

The third proportional to 436,911.38 and 590,295.56 is: 797,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,911.38 : 590,295.56 = 590,295.56 : x
  2. Step 2: Convert to fraction form
    436,911.38/590,295.56 = 590,295.56/x
  3. Step 3: Cross multiply
    436,911.38x = 590,295.56 × 590,295.56
  4. Step 4: Simplify right side
    436,911.38x = 348,448,851,107.19
  5. Step 5: Solve for x
    x = 348,448,851,107.19/436,911.38
  6. Step 6: Final answer
    x = 797,527.53

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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.