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Finding the Third Proportional to 366,573 and 567,590

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Solution

The third proportional to 366,573 and 567,590 is: 878,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,573 : 567,590 = 567,590 : x
  2. Step 2: Convert to fraction form
    366,573/567,590 = 567,590/x
  3. Step 3: Cross multiply
    366,573x = 567,590 × 567,590
  4. Step 4: Simplify right side
    366,573x = 322,158,408,100
  5. Step 5: Solve for x
    x = 322,158,408,100/366,573
  6. Step 6: Final answer
    x = 878,838.34

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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.