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Finding the Third Proportional to 436,911.75 and 590,295.75

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Solution

The third proportional to 436,911.75 and 590,295.75 is: 797,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,911.75 : 590,295.75 = 590,295.75 : x
  2. Step 2: Convert to fraction form
    436,911.75/590,295.75 = 590,295.75/x
  3. Step 3: Cross multiply
    436,911.75x = 590,295.75 × 590,295.75
  4. Step 4: Simplify right side
    436,911.75x = 348,449,072,468.06
  5. Step 5: Solve for x
    x = 348,449,072,468.06/436,911.75
  6. Step 6: Final answer
    x = 797,527.36

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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.