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Finding the Third Proportional to 366,592 and 567,620

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Solution

The third proportional to 366,592 and 567,620 is: 878,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,592 : 567,620 = 567,620 : x
  2. Step 2: Convert to fraction form
    366,592/567,620 = 567,620/x
  3. Step 3: Cross multiply
    366,592x = 567,620 × 567,620
  4. Step 4: Simplify right side
    366,592x = 322,192,464,400
  5. Step 5: Solve for x
    x = 322,192,464,400/366,592
  6. Step 6: Final answer
    x = 878,885.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.