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Finding the Third Proportional to 339,537 and 509,346

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Solution

The third proportional to 339,537 and 509,346 is: 764,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,537 : 509,346 = 509,346 : x
  2. Step 2: Convert to fraction form
    339,537/509,346 = 509,346/x
  3. Step 3: Cross multiply
    339,537x = 509,346 × 509,346
  4. Step 4: Simplify right side
    339,537x = 259,433,347,716
  5. Step 5: Solve for x
    x = 259,433,347,716/339,537
  6. Step 6: Final answer
    x = 764,079.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.