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Finding the Third Proportional to 340,692.75 and 737,812.13

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Solution

The third proportional to 340,692.75 and 737,812.13 is: 1,597,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,692.75 : 737,812.13 = 737,812.13 : x
  2. Step 2: Convert to fraction form
    340,692.75/737,812.13 = 737,812.13/x
  3. Step 3: Cross multiply
    340,692.75x = 737,812.13 × 737,812.13
  4. Step 4: Simplify right side
    340,692.75x = 544,366,731,797.02
  5. Step 5: Solve for x
    x = 544,366,731,797.02/340,692.75
  6. Step 6: Final answer
    x = 1,597,823.06

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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.