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Finding the Third Proportional to 352,572 and 723,918

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Solution

The third proportional to 352,572 and 723,918 is: 1,486,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,572 : 723,918 = 723,918 : x
  2. Step 2: Convert to fraction form
    352,572/723,918 = 723,918/x
  3. Step 3: Cross multiply
    352,572x = 723,918 × 723,918
  4. Step 4: Simplify right side
    352,572x = 524,057,270,724
  5. Step 5: Solve for x
    x = 524,057,270,724/352,572
  6. Step 6: Final answer
    x = 1,486,383.69

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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.