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Finding the Third Proportional to 352,476 and 567,412

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Solution

The third proportional to 352,476 and 567,412 is: 913,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,476 : 567,412 = 567,412 : x
  2. Step 2: Convert to fraction form
    352,476/567,412 = 567,412/x
  3. Step 3: Cross multiply
    352,476x = 567,412 × 567,412
  4. Step 4: Simplify right side
    352,476x = 321,956,377,744
  5. Step 5: Solve for x
    x = 321,956,377,744/352,476
  6. Step 6: Final answer
    x = 913,413.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.