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Finding the Third Proportional to 340,687.69 and 737,803.69

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Solution

The third proportional to 340,687.69 and 737,803.69 is: 1,597,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,687.69 : 737,803.69 = 737,803.69 : x
  2. Step 2: Convert to fraction form
    340,687.69/737,803.69 = 737,803.69/x
  3. Step 3: Cross multiply
    340,687.69x = 737,803.69 × 737,803.69
  4. Step 4: Simplify right side
    340,687.69x = 544,354,281,288.60
  5. Step 5: Solve for x
    x = 544,354,281,288.60/340,687.69
  6. Step 6: Final answer
    x = 1,597,810.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.