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Finding the Third Proportional to 315,622 and 686,540

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Solution

The third proportional to 315,622 and 686,540 is: 1,493,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,622 : 686,540 = 686,540 : x
  2. Step 2: Convert to fraction form
    315,622/686,540 = 686,540/x
  3. Step 3: Cross multiply
    315,622x = 686,540 × 686,540
  4. Step 4: Simplify right side
    315,622x = 471,337,171,600
  5. Step 5: Solve for x
    x = 471,337,171,600/315,622
  6. Step 6: Final answer
    x = 1,493,359.69

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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.