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Finding the Third Proportional to 344,709 and 496,476

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Solution

The third proportional to 344,709 and 496,476 is: 715,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,709 : 496,476 = 496,476 : x
  2. Step 2: Convert to fraction form
    344,709/496,476 = 496,476/x
  3. Step 3: Cross multiply
    344,709x = 496,476 × 496,476
  4. Step 4: Simplify right side
    344,709x = 246,488,418,576
  5. Step 5: Solve for x
    x = 246,488,418,576/344,709
  6. Step 6: Final answer
    x = 715,062.32

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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.