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Finding the Third Proportional to 322,460 and 671,080

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Solution

The third proportional to 322,460 and 671,080 is: 1,396,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,460 : 671,080 = 671,080 : x
  2. Step 2: Convert to fraction form
    322,460/671,080 = 671,080/x
  3. Step 3: Cross multiply
    322,460x = 671,080 × 671,080
  4. Step 4: Simplify right side
    322,460x = 450,348,366,400
  5. Step 5: Solve for x
    x = 450,348,366,400/322,460
  6. Step 6: Final answer
    x = 1,396,602.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.