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Finding the Third Proportional to 339,303 and 737,070

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Solution

The third proportional to 339,303 and 737,070 is: 1,601,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,303 : 737,070 = 737,070 : x
  2. Step 2: Convert to fraction form
    339,303/737,070 = 737,070/x
  3. Step 3: Cross multiply
    339,303x = 737,070 × 737,070
  4. Step 4: Simplify right side
    339,303x = 543,272,184,900
  5. Step 5: Solve for x
    x = 543,272,184,900/339,303
  6. Step 6: Final answer
    x = 1,601,141.71

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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.