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Finding the Third Proportional to 301,810 and 658,910

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Solution

The third proportional to 301,810 and 658,910 is: 1,438,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,810 : 658,910 = 658,910 : x
  2. Step 2: Convert to fraction form
    301,810/658,910 = 658,910/x
  3. Step 3: Cross multiply
    301,810x = 658,910 × 658,910
  4. Step 4: Simplify right side
    301,810x = 434,162,388,100
  5. Step 5: Solve for x
    x = 434,162,388,100/301,810
  6. Step 6: Final answer
    x = 1,438,528.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.