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Finding the Third Proportional to 321,666 and 686,080

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Solution

The third proportional to 321,666 and 686,080 is: 1,463,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,666 : 686,080 = 686,080 : x
  2. Step 2: Convert to fraction form
    321,666/686,080 = 686,080/x
  3. Step 3: Cross multiply
    321,666x = 686,080 × 686,080
  4. Step 4: Simplify right side
    321,666x = 470,705,766,400
  5. Step 5: Solve for x
    x = 470,705,766,400/321,666
  6. Step 6: Final answer
    x = 1,463,337.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.