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Finding the Third Proportional to 339,498 and 744,285

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Solution

The third proportional to 339,498 and 744,285 is: 1,631,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,498 : 744,285 = 744,285 : x
  2. Step 2: Convert to fraction form
    339,498/744,285 = 744,285/x
  3. Step 3: Cross multiply
    339,498x = 744,285 × 744,285
  4. Step 4: Simplify right side
    339,498x = 553,960,161,225
  5. Step 5: Solve for x
    x = 553,960,161,225/339,498
  6. Step 6: Final answer
    x = 1,631,703.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.