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Finding the Third Proportional to 352,566 and 723,906

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Solution

The third proportional to 352,566 and 723,906 is: 1,486,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,566 : 723,906 = 723,906 : x
  2. Step 2: Convert to fraction form
    352,566/723,906 = 723,906/x
  3. Step 3: Cross multiply
    352,566x = 723,906 × 723,906
  4. Step 4: Simplify right side
    352,566x = 524,039,896,836
  5. Step 5: Solve for x
    x = 524,039,896,836/352,566
  6. Step 6: Final answer
    x = 1,486,359.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.