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Finding the Third Proportional to 313,476 and 457,092

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Solution

The third proportional to 313,476 and 457,092 is: 666,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,476 : 457,092 = 457,092 : x
  2. Step 2: Convert to fraction form
    313,476/457,092 = 457,092/x
  3. Step 3: Cross multiply
    313,476x = 457,092 × 457,092
  4. Step 4: Simplify right side
    313,476x = 208,933,096,464
  5. Step 5: Solve for x
    x = 208,933,096,464/313,476
  6. Step 6: Final answer
    x = 666,504.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.