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Finding the Third Proportional to 275,376 and 602,592

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Solution

The third proportional to 275,376 and 602,592 is: 1,318,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,376 : 602,592 = 602,592 : x
  2. Step 2: Convert to fraction form
    275,376/602,592 = 602,592/x
  3. Step 3: Cross multiply
    275,376x = 602,592 × 602,592
  4. Step 4: Simplify right side
    275,376x = 363,117,118,464
  5. Step 5: Solve for x
    x = 363,117,118,464/275,376
  6. Step 6: Final answer
    x = 1,318,622.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.