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Finding the Third Proportional to 274,575 and 601,638

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Solution

The third proportional to 274,575 and 601,638 is: 1,318,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,575 : 601,638 = 601,638 : x
  2. Step 2: Convert to fraction form
    274,575/601,638 = 601,638/x
  3. Step 3: Cross multiply
    274,575x = 601,638 × 601,638
  4. Step 4: Simplify right side
    274,575x = 361,968,283,044
  5. Step 5: Solve for x
    x = 361,968,283,044/274,575
  6. Step 6: Final answer
    x = 1,318,285.65

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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.