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Finding the Third Proportional to 316,860 and 461,022

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Solution

The third proportional to 316,860 and 461,022 is: 670,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,860 : 461,022 = 461,022 : x
  2. Step 2: Convert to fraction form
    316,860/461,022 = 461,022/x
  3. Step 3: Cross multiply
    316,860x = 461,022 × 461,022
  4. Step 4: Simplify right side
    316,860x = 212,541,284,484
  5. Step 5: Solve for x
    x = 212,541,284,484/316,860
  6. Step 6: Final answer
    x = 670,773.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.