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Finding the Third Proportional to 344,698 and 496,466

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Solution

The third proportional to 344,698 and 496,466 is: 715,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,698 : 496,466 = 496,466 : x
  2. Step 2: Convert to fraction form
    344,698/496,466 = 496,466/x
  3. Step 3: Cross multiply
    344,698x = 496,466 × 496,466
  4. Step 4: Simplify right side
    344,698x = 246,478,489,156
  5. Step 5: Solve for x
    x = 246,478,489,156/344,698
  6. Step 6: Final answer
    x = 715,056.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.