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Finding the Third Proportional to 466,187 and 658,022

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Solution

The third proportional to 466,187 and 658,022 is: 928,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,187 : 658,022 = 658,022 : x
  2. Step 2: Convert to fraction form
    466,187/658,022 = 658,022/x
  3. Step 3: Cross multiply
    466,187x = 658,022 × 658,022
  4. Step 4: Simplify right side
    466,187x = 432,992,952,484
  5. Step 5: Solve for x
    x = 432,992,952,484/466,187
  6. Step 6: Final answer
    x = 928,796.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.