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Finding the Third Proportional to 321,660 and 686,068

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Solution

The third proportional to 321,660 and 686,068 is: 1,463,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,660 : 686,068 = 686,068 : x
  2. Step 2: Convert to fraction form
    321,660/686,068 = 686,068/x
  3. Step 3: Cross multiply
    321,660x = 686,068 × 686,068
  4. Step 4: Simplify right side
    321,660x = 470,689,300,624
  5. Step 5: Solve for x
    x = 470,689,300,624/321,660
  6. Step 6: Final answer
    x = 1,463,313.13

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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.