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Finding the Third Proportional to 316,048 and 461,592

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Solution

The third proportional to 316,048 and 461,592 is: 674,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,048 : 461,592 = 461,592 : x
  2. Step 2: Convert to fraction form
    316,048/461,592 = 461,592/x
  3. Step 3: Cross multiply
    316,048x = 461,592 × 461,592
  4. Step 4: Simplify right side
    316,048x = 213,067,174,464
  5. Step 5: Solve for x
    x = 213,067,174,464/316,048
  6. Step 6: Final answer
    x = 674,160.81

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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.