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Finding the Third Proportional to 321,788.63 and 437,029.13

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Solution

The third proportional to 321,788.63 and 437,029.13 is: 593,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,788.63 : 437,029.13 = 437,029.13 : x
  2. Step 2: Convert to fraction form
    321,788.63/437,029.13 = 437,029.13/x
  3. Step 3: Cross multiply
    321,788.63x = 437,029.13 × 437,029.13
  4. Step 4: Simplify right side
    321,788.63x = 190,994,456,098.27
  5. Step 5: Solve for x
    x = 190,994,456,098.27/321,788.63
  6. Step 6: Final answer
    x = 593,540.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.