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Finding the Third Proportional to 339,423 and 670,281

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Solution

The third proportional to 339,423 and 670,281 is: 1,323,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,423 : 670,281 = 670,281 : x
  2. Step 2: Convert to fraction form
    339,423/670,281 = 670,281/x
  3. Step 3: Cross multiply
    339,423x = 670,281 × 670,281
  4. Step 4: Simplify right side
    339,423x = 449,276,618,961
  5. Step 5: Solve for x
    x = 449,276,618,961/339,423
  6. Step 6: Final answer
    x = 1,323,648.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.