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Finding the Third Proportional to 301,016 and 658,000

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Solution

The third proportional to 301,016 and 658,000 is: 1,438,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,016 : 658,000 = 658,000 : x
  2. Step 2: Convert to fraction form
    301,016/658,000 = 658,000/x
  3. Step 3: Cross multiply
    301,016x = 658,000 × 658,000
  4. Step 4: Simplify right side
    301,016x = 432,964,000,000
  5. Step 5: Solve for x
    x = 432,964,000,000/301,016
  6. Step 6: Final answer
    x = 1,438,342.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.