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Finding the Third Proportional to 339,915 and 733,047

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Solution

The third proportional to 339,915 and 733,047 is: 1,580,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,915 : 733,047 = 733,047 : x
  2. Step 2: Convert to fraction form
    339,915/733,047 = 733,047/x
  3. Step 3: Cross multiply
    339,915x = 733,047 × 733,047
  4. Step 4: Simplify right side
    339,915x = 537,357,904,209
  5. Step 5: Solve for x
    x = 537,357,904,209/339,915
  6. Step 6: Final answer
    x = 1,580,859.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.