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Finding the Third Proportional to 339,159 and 737,367.50

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Solution

The third proportional to 339,159 and 737,367.50 is: 1,603,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,159 : 737,367.50 = 737,367.50 : x
  2. Step 2: Convert to fraction form
    339,159/737,367.50 = 737,367.50/x
  3. Step 3: Cross multiply
    339,159x = 737,367.50 × 737,367.50
  4. Step 4: Simplify right side
    339,159x = 543,710,830,056.25
  5. Step 5: Solve for x
    x = 543,710,830,056.25/339,159
  6. Step 6: Final answer
    x = 1,603,114.85

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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.